Question

Someone please explain me in detail how to find the solution for this Infinite series problem...

Answer 1

Please refer the attached picture for question and you can use audio or video notes.. I can even do webcam. plz its urgent as I have exam.

Answer 2

Well, as an infinite series, it converges when |x|<1/3

Answer 3

How???

Answer 4

Are you familiar with the ratio test?

Answer 5

Yes

Answer 6

The ratio of successive terms is \[\frac{3k+1}{k}x\]as k goes to infinity, this converges to 3x.

Answer 7

I will apply ratio test and let you know..

Answer 8

hey but what about factorial??

Answer 9

expand the factorial as a product of integers, or use the recursive definition