I am currently stuck on two taylor series problems which as for the first four nonzero terms in the series. The top one is centered around a=1 while the bottom is around a=0. Any help in solving these series is appreciated. The problems are posted in the link below.

Question

I am currently stuck on  two taylor series problems which as for the first four nonzero terms in the series. The top one is centered around a=1 while the bottom is around a=0. Any help in solving these series is appreciated. The problems are posted in the link below.

anonymous · Answer

attachment

tkhunny · Answer

Feel free to demonstrate the first few derivatives.

anonymous · Answer

So x^(1/4), (1/4)*x^(-3/4), (-3/16)*x^(-7/4).

tkhunny · Answer

I'd do one more, just for luck...

Okay, now substitute x = 1 into each of these.