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