- #1

- 584

- 0

Hi, I've run into a bit of a problem. I don't know why I didn't resolve this issue when I first learned about series but the following is bugging me.

[tex]

e^x = \sum\limits_{k = 0}^\infty {\frac{{x^k }}{{k!}}}

[/tex]

I also know that exp(0) = 1.

But if I plug x = 0 into the above series, the term corresponding to k = 0, involves 0^0 which isn't defined as far as I can recall so I don't know how exp(0) = 1 comes about from plugging x = 0 into the above series. This is something I should know by now but I can't see why at the moment. Any help would be good thanks.

[tex]

e^x = \sum\limits_{k = 0}^\infty {\frac{{x^k }}{{k!}}}

[/tex]

I also know that exp(0) = 1.

But if I plug x = 0 into the above series, the term corresponding to k = 0, involves 0^0 which isn't defined as far as I can recall so I don't know how exp(0) = 1 comes about from plugging x = 0 into the above series. This is something I should know by now but I can't see why at the moment. Any help would be good thanks.

Last edited: