Mixing
Finding Limits, will limits be defined in question?
-2
$begingroup$
How do you know which limits to take x tends to 0 or x tends to infinity for
(3-2x)/(x+2) and does it matter
limits
asked Jan 30 at 13:55
DK19DK19
11
$endgroup$
|
show 1 more comment
-2
$begingroup$
How do you know which limits to take x tends to 0 or x tends to infinity for
(3-2x)/(x+2) and does it matter
limits
asked Jan 30 at 13:55
DK19DK19
11
$endgroup$
$begingroup$
Do you mean "What's the difference between $lim_{xto 0}$ and $lim_{xto infty}$, and when do we use each of them?" or is your question something else?
$endgroup$
– Arthur
Jan 30 at 14:01
$begingroup$
I wanted to know if it had to be one or the other or it depends on a situation like the question will define it so you do that
$endgroup$
– DK19
Jan 30 at 14:09
$begingroup$
Usually it's obious from the problem which limit you're supposed to take. If not, then, well, you should choose the one which makes the most sense.
$endgroup$
– Arthur
Jan 30 at 14:14
$begingroup$
Hi Arthur, could you answer "What's the difference between limx→0 and limx→∞, and when do we use each of them?", maybe that will help my understanding better
$endgroup$
– DK19
Jan 30 at 14:15
$begingroup$
You can use for example $x rightarrow infty$ limit to find out if the $f$ has horizontal asymptote at $infty$. If the $lim f(x) = a$ where $a$ is some number different than infinity, then the function has horizontal asymptote equal to $y = a$ at $infty$. On the other hand for example you can calculate $x rightarrow 0$ limit to find out if the curve has a vertical asymptote at $x$. You can also use it to find out if $f$ is continuous at $x = 0$. This is a huge generalization from my side, but you get the idea. Do some reading.
$endgroup$
– weno
Jan 30 at 14:21
|
show 1 more comment
-2
-2
-2
$begingroup$
How do you know which limits to take x tends to 0 or x tends to infinity for
(3-2x)/(x+2) and does it matter
limits
asked Jan 30 at 13:55
DK19DK19
11
$endgroup$
How do you know which limits to take x tends to 0 or x tends to infinity for
(3-2x)/(x+2) and does it matter
limits
limits
asked Jan 30 at 13:55
DK19DK19
11
asked Jan 30 at 13:55
DK19DK19
11
asked Jan 30 at 13:55
DK19DK19
11
asked Jan 30 at 13:55
DK19DK19
11
asked Jan 30 at 13:55
DK19DK19
11
11
$begingroup$
Do you mean "What's the difference between $lim_{xto 0}$ and $lim_{xto infty}$, and when do we use each of them?" or is your question something else?
$endgroup$
– Arthur
Jan 30 at 14:01
$begingroup$
I wanted to know if it had to be one or the other or it depends on a situation like the question will define it so you do that
$endgroup$
– DK19
Jan 30 at 14:09
$begingroup$
Usually it's obious from the problem which limit you're supposed to take. If not, then, well, you should choose the one which makes the most sense.
$endgroup$
– Arthur
Jan 30 at 14:14
$begingroup$
Hi Arthur, could you answer "What's the difference between limx→0 and limx→∞, and when do we use each of them?", maybe that will help my understanding better
$endgroup$
– DK19
Jan 30 at 14:15
$begingroup$
You can use for example $x rightarrow infty$ limit to find out if the $f$ has horizontal asymptote at $infty$. If the $lim f(x) = a$ where $a$ is some number different than infinity, then the function has horizontal asymptote equal to $y = a$ at $infty$. On the other hand for example you can calculate $x rightarrow 0$ limit to find out if the curve has a vertical asymptote at $x$. You can also use it to find out if $f$ is continuous at $x = 0$. This is a huge generalization from my side, but you get the idea. Do some reading.
$endgroup$
– weno
Jan 30 at 14:21
|
show 1 more comment
$begingroup$
Do you mean "What's the difference between $lim_{xto 0}$ and $lim_{xto infty}$, and when do we use each of them?" or is your question something else?
$endgroup$
– Arthur
Jan 30 at 14:01
$begingroup$
I wanted to know if it had to be one or the other or it depends on a situation like the question will define it so you do that
$endgroup$
– DK19
Jan 30 at 14:09
$begingroup$
Usually it's obious from the problem which limit you're supposed to take. If not, then, well, you should choose the one which makes the most sense.
$endgroup$
– Arthur
Jan 30 at 14:14
$begingroup$
Hi Arthur, could you answer "What's the difference between limx→0 and limx→∞, and when do we use each of them?", maybe that will help my understanding better
$endgroup$
– DK19
Jan 30 at 14:15
$begingroup$
You can use for example $x rightarrow infty$ limit to find out if the $f$ has horizontal asymptote at $infty$. If the $lim f(x) = a$ where $a$ is some number different than infinity, then the function has horizontal asymptote equal to $y = a$ at $infty$. On the other hand for example you can calculate $x rightarrow 0$ limit to find out if the curve has a vertical asymptote at $x$. You can also use it to find out if $f$ is continuous at $x = 0$. This is a huge generalization from my side, but you get the idea. Do some reading.
$endgroup$
– weno
Jan 30 at 14:21
$begingroup$
Do you mean "What's the difference between $lim_{xto 0}$ and $lim_{xto infty}$, and when do we use each of them?" or is your question something else?
$endgroup$
– Arthur
Jan 30 at 14:01
$begingroup$
Do you mean "What's the difference between $lim_{xto 0}$ and $lim_{xto infty}$, and when do we use each of them?" or is your question something else?
$endgroup$
– Arthur
Jan 30 at 14:01
$begingroup$
I wanted to know if it had to be one or the other or it depends on a situation like the question will define it so you do that
$endgroup$
– DK19
Jan 30 at 14:09
$begingroup$
I wanted to know if it had to be one or the other or it depends on a situation like the question will define it so you do that
$endgroup$
– DK19
Jan 30 at 14:09
$begingroup$
Usually it's obious from the problem which limit you're supposed to take. If not, then, well, you should choose the one which makes the most sense.
$endgroup$
– Arthur
Jan 30 at 14:14
$begingroup$
Usually it's obious from the problem which limit you're supposed to take. If not, then, well, you should choose the one which makes the most sense.
$endgroup$
– Arthur
Jan 30 at 14:14
$begingroup$
Hi Arthur, could you answer "What's the difference between limx→0 and limx→∞, and when do we use each of them?", maybe that will help my understanding better
$endgroup$
– DK19
Jan 30 at 14:15
$begingroup$
Hi Arthur, could you answer "What's the difference between limx→0 and limx→∞, and when do we use each of them?", maybe that will help my understanding better
$endgroup$
– DK19
Jan 30 at 14:15
$begingroup$
You can use for example $x rightarrow infty$ limit to find out if the $f$ has horizontal asymptote at $infty$. If the $lim f(x) = a$ where $a$ is some number different than infinity, then the function has horizontal asymptote equal to $y = a$ at $infty$. On the other hand for example you can calculate $x rightarrow 0$ limit to find out if the curve has a vertical asymptote at $x$. You can also use it to find out if $f$ is continuous at $x = 0$. This is a huge generalization from my side, but you get the idea. Do some reading.
$endgroup$
– weno
Jan 30 at 14:21
$begingroup$
You can use for example $x rightarrow infty$ limit to find out if the $f$ has horizontal asymptote at $infty$. If the $lim f(x) = a$ where $a$ is some number different than infinity, then the function has horizontal asymptote equal to $y = a$ at $infty$. On the other hand for example you can calculate $x rightarrow 0$ limit to find out if the curve has a vertical asymptote at $x$. You can also use it to find out if $f$ is continuous at $x = 0$. This is a huge generalization from my side, but you get the idea. Do some reading.
$endgroup$
– weno
Jan 30 at 14:21
|
show 1 more comment
1 Answer
1
active
oldest
votes
0
$begingroup$
Hint: If $x$ tends to zero, you can plug in $x=0$.
If $x$ tends to infinity, you can write
$$frac {xleft(frac{3}{x}-2right)}{xleft(1+frac{2}{x}right)}$$
answered Jan 30 at 13:58
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
$endgroup$
$begingroup$
x tends to 0 will give 3/2 while x tends to infinity will give -2, so I wanted clarity on which best to pick
$endgroup$
– DK19
Jan 30 at 14:18
add a comment |
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1 Answer
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1 Answer
1
active
oldest
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0
$begingroup$
Hint: If $x$ tends to zero, you can plug in $x=0$.
If $x$ tends to infinity, you can write
$$frac {xleft(frac{3}{x}-2right)}{xleft(1+frac{2}{x}right)}$$
answered Jan 30 at 13:58
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
$endgroup$
$begingroup$
x tends to 0 will give 3/2 while x tends to infinity will give -2, so I wanted clarity on which best to pick
$endgroup$
– DK19
Jan 30 at 14:18
add a comment |
0
$begingroup$
Hint: If $x$ tends to zero, you can plug in $x=0$.
If $x$ tends to infinity, you can write
$$frac {xleft(frac{3}{x}-2right)}{xleft(1+frac{2}{x}right)}$$
answered Jan 30 at 13:58
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
$endgroup$
$begingroup$
x tends to 0 will give 3/2 while x tends to infinity will give -2, so I wanted clarity on which best to pick
$endgroup$
– DK19
Jan 30 at 14:18
add a comment |
0
0
0
$begingroup$
Hint: If $x$ tends to zero, you can plug in $x=0$.
If $x$ tends to infinity, you can write
$$frac {xleft(frac{3}{x}-2right)}{xleft(1+frac{2}{x}right)}$$
answered Jan 30 at 13:58
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
$endgroup$
Hint: If $x$ tends to zero, you can plug in $x=0$.
If $x$ tends to infinity, you can write
$$frac {xleft(frac{3}{x}-2right)}{xleft(1+frac{2}{x}right)}$$
answered Jan 30 at 13:58
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
answered Jan 30 at 13:58
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
answered Jan 30 at 13:58
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
answered Jan 30 at 13:58
Dr. Sonnhard GraubnerDr. Sonnhard Graubner
78.4k42867
78.4k42867
$begingroup$
x tends to 0 will give 3/2 while x tends to infinity will give -2, so I wanted clarity on which best to pick
$endgroup$
– DK19
Jan 30 at 14:18
add a comment |
$begingroup$
x tends to 0 will give 3/2 while x tends to infinity will give -2, so I wanted clarity on which best to pick
$endgroup$
– DK19
Jan 30 at 14:18
$begingroup$
x tends to 0 will give 3/2 while x tends to infinity will give -2, so I wanted clarity on which best to pick
$endgroup$
– DK19
Jan 30 at 14:18
$begingroup$
x tends to 0 will give 3/2 while x tends to infinity will give -2, so I wanted clarity on which best to pick
$endgroup$
– DK19
Jan 30 at 14:18
add a comment |
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$begingroup$
Do you mean "What's the difference between $lim_{xto 0}$ and $lim_{xto infty}$, and when do we use each of them?" or is your question something else?
$endgroup$
– Arthur
Jan 30 at 14:01
$begingroup$
I wanted to know if it had to be one or the other or it depends on a situation like the question will define it so you do that
$endgroup$
– DK19
Jan 30 at 14:09
$begingroup$
Usually it's obious from the problem which limit you're supposed to take. If not, then, well, you should choose the one which makes the most sense.
$endgroup$
– Arthur
Jan 30 at 14:14
$begingroup$
Hi Arthur, could you answer "What's the difference between limx→0 and limx→∞, and when do we use each of them?", maybe that will help my understanding better
$endgroup$
– DK19
Jan 30 at 14:15
$begingroup$
You can use for example $x rightarrow infty$ limit to find out if the $f$ has horizontal asymptote at $infty$. If the $lim f(x) = a$ where $a$ is some number different than infinity, then the function has horizontal asymptote equal to $y = a$ at $infty$. On the other hand for example you can calculate $x rightarrow 0$ limit to find out if the curve has a vertical asymptote at $x$. You can also use it to find out if $f$ is continuous at $x = 0$. This is a huge generalization from my side, but you get the idea. Do some reading.
$endgroup$
– weno
Jan 30 at 14:21