In the first one, you're supposed to use the Taylor series for and ; namely, as , then ; and as , then .
Thus .
--Kevin C.
I'm generally ok with these sorts of problems, but these two have me stumped. Our professor hasn't gone over these particular cases (taylor series on a limit/integral) so any help is appreciated.
Here I have to use Taylor series to evaluate:
L'hopital doesnt get me anywhere on this limit. My Ti-89 says the limit is equal to 3 but that doesnt make sense. All the derivatives f'(3), f''(0) etc.. would just be 0 after making Taylors series pointless.
and,
Find the first four terms for the MacLaurin (Taylor series evaluated around x = 0) series for
thanks again in advance,
Sumner
follow the instructions. after writing out the Taylor expansions for and , there will be no need of L'Hopital's rule. it will simply be a ratio of polynomials, which you should be able to deal with
do you remember how to find the coefficients of the Taylor series? Hint: for the first derivative, use the second fundamental theorem of calculusand,
Find the first four terms for the MacLaurin (Taylor series evaluated around x = 0) series for
thanks again in advance,
Sumner
Hi
These 2 problems have already been posted recently
http://www.mathhelpforum.com/math-he...or-series.html
http://www.mathhelpforum.com/math-he...-integral.html
I guess generic1 and you are in the same class !