Mixing
List of Indeterminate forms in Mathematics
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I know that ,
$1) frac{0}{0}$
$2) frac{pminfty}{pminfty}$
$4) 0 times(pminfty) $ are Indeterminate forms.
But in measure theory $ 0 times(pminfty) =0 $
Are there any other indeterminate forms ? And Why ?
soft-question indeterminate-forms
asked Dec 19 '15 at 1:02
Angelo Mark
4,00421640
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up vote
0
down vote
favorite
I know that ,
$1) frac{0}{0}$
$2) frac{pminfty}{pminfty}$
$4) 0 times(pminfty) $ are Indeterminate forms.
But in measure theory $ 0 times(pminfty) =0 $
Are there any other indeterminate forms ? And Why ?
soft-question indeterminate-forms
asked Dec 19 '15 at 1:02
Angelo Mark
4,00421640
3
You can add $1^{infty}$ and $0^0$ to that list.
– JimmyK4542
Dec 19 '15 at 1:03
1
There's also $infty - infty$, $infty^0$
– Omnomnomnom
Dec 19 '15 at 4:23
3
"Indeterminate form" really shouldn't be taken to have a hard, well-defined meaning. Division by zero and general arithmetic with infinity is not allowed by the rules of algebra. "Indeterminate forms" are just expressions which naively substitute a limiting value for the limit variable.
– Tac-Tics
Dec 19 '15 at 6:34
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I know that ,
$1) frac{0}{0}$
$2) frac{pminfty}{pminfty}$
$4) 0 times(pminfty) $ are Indeterminate forms.
But in measure theory $ 0 times(pminfty) =0 $
Are there any other indeterminate forms ? And Why ?
soft-question indeterminate-forms
asked Dec 19 '15 at 1:02
Angelo Mark
4,00421640
I know that ,
$1) frac{0}{0}$
$2) frac{pminfty}{pminfty}$
$4) 0 times(pminfty) $ are Indeterminate forms.
But in measure theory $ 0 times(pminfty) =0 $
Are there any other indeterminate forms ? And Why ?
soft-question indeterminate-forms
soft-question indeterminate-forms
asked Dec 19 '15 at 1:02
Angelo Mark
4,00421640
asked Dec 19 '15 at 1:02
Angelo Mark
4,00421640
asked Dec 19 '15 at 1:02
Angelo Mark
4,00421640
asked Dec 19 '15 at 1:02
Angelo Mark
4,00421640
asked Dec 19 '15 at 1:02
Angelo Mark
4,00421640
4,00421640
3
You can add $1^{infty}$ and $0^0$ to that list.
– JimmyK4542
Dec 19 '15 at 1:03
1
There's also $infty - infty$, $infty^0$
– Omnomnomnom
Dec 19 '15 at 4:23
3
"Indeterminate form" really shouldn't be taken to have a hard, well-defined meaning. Division by zero and general arithmetic with infinity is not allowed by the rules of algebra. "Indeterminate forms" are just expressions which naively substitute a limiting value for the limit variable.
– Tac-Tics
Dec 19 '15 at 6:34
add a comment |
3
You can add $1^{infty}$ and $0^0$ to that list.
– JimmyK4542
Dec 19 '15 at 1:03
1
There's also $infty - infty$, $infty^0$
– Omnomnomnom
Dec 19 '15 at 4:23
3
"Indeterminate form" really shouldn't be taken to have a hard, well-defined meaning. Division by zero and general arithmetic with infinity is not allowed by the rules of algebra. "Indeterminate forms" are just expressions which naively substitute a limiting value for the limit variable.
– Tac-Tics
Dec 19 '15 at 6:34
3
3
You can add $1^{infty}$ and $0^0$ to that list.
– JimmyK4542
Dec 19 '15 at 1:03
You can add $1^{infty}$ and $0^0$ to that list.
– JimmyK4542
Dec 19 '15 at 1:03
1
1
There's also $infty - infty$, $infty^0$
– Omnomnomnom
Dec 19 '15 at 4:23
There's also $infty - infty$, $infty^0$
– Omnomnomnom
Dec 19 '15 at 4:23
3
3
"Indeterminate form" really shouldn't be taken to have a hard, well-defined meaning. Division by zero and general arithmetic with infinity is not allowed by the rules of algebra. "Indeterminate forms" are just expressions which naively substitute a limiting value for the limit variable.
– Tac-Tics
Dec 19 '15 at 6:34
"Indeterminate form" really shouldn't be taken to have a hard, well-defined meaning. Division by zero and general arithmetic with infinity is not allowed by the rules of algebra. "Indeterminate forms" are just expressions which naively substitute a limiting value for the limit variable.
– Tac-Tics
Dec 19 '15 at 6:34
add a comment |
1 Answer
1
active
oldest
votes
up vote
3
down vote
accepted
The following is a list of indeterminate forms usually encountered:
$$frac{0}{0}$$
$$frac{infty}{infty}$$
$$0 cdot infty$$
$$0^0$$
$$infty - infty$$
$$infty^0$$
$$1^infty$$
Why are they indeterminate?
Just in case this turns out to be helpful:
The sources of these images are:
1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf
- http://17calculus.com/limits/indeterminate-forms/
In case, you are starting off learning about indeterminate forms I suggest taking a look at the pdf above.
Hope this helps.
answered Dec 19 '15 at 6:27
Red
1,767934
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
accepted
The following is a list of indeterminate forms usually encountered:
$$frac{0}{0}$$
$$frac{infty}{infty}$$
$$0 cdot infty$$
$$0^0$$
$$infty - infty$$
$$infty^0$$
$$1^infty$$
Why are they indeterminate?
Just in case this turns out to be helpful:
The sources of these images are:
1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf
- http://17calculus.com/limits/indeterminate-forms/
In case, you are starting off learning about indeterminate forms I suggest taking a look at the pdf above.
Hope this helps.
answered Dec 19 '15 at 6:27
Red
1,767934
add a comment |
up vote
3
down vote
accepted
The following is a list of indeterminate forms usually encountered:
$$frac{0}{0}$$
$$frac{infty}{infty}$$
$$0 cdot infty$$
$$0^0$$
$$infty - infty$$
$$infty^0$$
$$1^infty$$
Why are they indeterminate?
Just in case this turns out to be helpful:
The sources of these images are:
1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf
- http://17calculus.com/limits/indeterminate-forms/
In case, you are starting off learning about indeterminate forms I suggest taking a look at the pdf above.
Hope this helps.
answered Dec 19 '15 at 6:27
Red
1,767934
add a comment |
up vote
3
down vote
accepted
up vote
3
down vote
accepted
The following is a list of indeterminate forms usually encountered:
$$frac{0}{0}$$
$$frac{infty}{infty}$$
$$0 cdot infty$$
$$0^0$$
$$infty - infty$$
$$infty^0$$
$$1^infty$$
Why are they indeterminate?
Just in case this turns out to be helpful:
The sources of these images are:
1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf
- http://17calculus.com/limits/indeterminate-forms/
In case, you are starting off learning about indeterminate forms I suggest taking a look at the pdf above.
Hope this helps.
answered Dec 19 '15 at 6:27
Red
1,767934
The following is a list of indeterminate forms usually encountered:
$$frac{0}{0}$$
$$frac{infty}{infty}$$
$$0 cdot infty$$
$$0^0$$
$$infty - infty$$
$$infty^0$$
$$1^infty$$
Why are they indeterminate?
Just in case this turns out to be helpful:
The sources of these images are:
1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf
- http://17calculus.com/limits/indeterminate-forms/
In case, you are starting off learning about indeterminate forms I suggest taking a look at the pdf above.
Hope this helps.
answered Dec 19 '15 at 6:27
Red
1,767934
answered Dec 19 '15 at 6:27
Red
1,767934
answered Dec 19 '15 at 6:27
Red
1,767934
answered Dec 19 '15 at 6:27
Red
1,767934
1,767934
add a comment |
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3
You can add $1^{infty}$ and $0^0$ to that list.
– JimmyK4542
Dec 19 '15 at 1:03
1
There's also $infty - infty$, $infty^0$
– Omnomnomnom
Dec 19 '15 at 4:23
3
"Indeterminate form" really shouldn't be taken to have a hard, well-defined meaning. Division by zero and general arithmetic with infinity is not allowed by the rules of algebra. "Indeterminate forms" are just expressions which naively substitute a limiting value for the limit variable.
– Tac-Tics
Dec 19 '15 at 6:34