"Calculate the limit using Taylor's formula". I know that the limit should be 1/30. Problem is how to prove it.

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- Nov 9th 2008, 10:59 AMxkyveLimit with Taylor formula
"Calculate the limit using Taylor's formula". I know that the limit should be 1/30. Problem is how to prove it.

- Nov 9th 2008, 11:10 AMJhevon
- Nov 9th 2008, 11:40 AMxkyve
i know the expansions and i found the value 17/315 + 1/7! for the limit but it's incorrect. i think i must find a path to write those trig. functions in another way.

- Nov 9th 2008, 11:58 AMMathstud28
Let and . Then

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and

- Nov 10th 2008, 01:37 AMxkyve
thank you :)

one more question, did u do those computations by hand? - Nov 10th 2008, 03:11 AMMathstud28
- Nov 10th 2008, 04:06 AMxkyve
yeah, those computations are long... anyways, i was wondering if there was another method, one that envolves only a pencil and some paper. :D i'll have to think about it...

- Nov 10th 2008, 12:15 PMMathstud28
- Nov 11th 2008, 02:58 AMxkyve
probably you are right, but i will still try to solve it using taylor but less computations.

doesn't matter, can u recommend me some good software that is able to compute derivatives, limits, and so on?

thanks - Nov 11th 2008, 04:03 AMMathstud28