List of Indeterminate forms in Mathematics











up vote
0
down vote

favorite
3












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







share|cite|improve this question


















  • 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















up vote
0
down vote

favorite
3












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







share|cite|improve this question


















  • 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













up vote
0
down vote

favorite
3









up vote
0
down vote

favorite
3






3





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







share|cite|improve this question













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






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










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














  • 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










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?



enter image description here



Just in case this turns out to be helpful:



enter image description here



The sources of these images are:
1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf




  1. 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.






share|cite|improve this answer





















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    1 Answer
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    active

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    1 Answer
    1






    active

    oldest

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    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?



    enter image description here



    Just in case this turns out to be helpful:



    enter image description here



    The sources of these images are:
    1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf




    1. 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.






    share|cite|improve this answer

























      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?



      enter image description here



      Just in case this turns out to be helpful:



      enter image description here



      The sources of these images are:
      1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf




      1. 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.






      share|cite|improve this answer























        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?



        enter image description here



        Just in case this turns out to be helpful:



        enter image description here



        The sources of these images are:
        1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf




        1. 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.






        share|cite|improve this answer












        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?



        enter image description here



        Just in case this turns out to be helpful:



        enter image description here



        The sources of these images are:
        1. https://www.math.brown.edu/~pflueger/math1a/lecture24.pdf




        1. 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.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Dec 19 '15 at 6:27









        Red

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