Question

Please also write out a step by step process to approach the problem.

Show that the following formulas hold, and find the radius of convergence for each. Pick 2. 1. a. n=1 (1-x)4 1-X

Answer 1

Eoliltioo ?忘 loen thal 3 we know that 1-х l-メ diffesentiating with se spect to x. 1 と U-9" G-x) diffesentiaejn ith nal aeapect to x %) (-1

mutipiying by'x'. CI-*) 7-x)3 Now, again dr f esentiat ing with&Apect to mutdpyng bye 3ee

ue Knoo that the aius o donveg ence im- that 4 Cb) we Kno 4 4 3 七 3

3 1-x an- lim