How Do You Determine the Radius and Interval of Convergence for a Power Series?

[camel-man]

I need help finishing this problem I am stuck.

find radius of conv. and interval of convergence of the series. Ʃ k=0->∞ (1/k+1) (x)^k

I have found all the way up to row=1 there for it is between (0,∞) so now that means that if absolute value of x<1 it converges if >1 it diverges but I forgot how I find what x is. I thought it was R which would be 1. Someone please explain to me as elementary as possible because I am no math major this is my last course/test and I will never use this again.

 

[LCKurtz]

I need help finishing this problem I am stuck.

find radius of conv. and interval of convergence of the series. Ʃ k=0->∞ (1/k+1) (x)^k

I have found all the way up to row=1 there for it is between (0,∞) so now that means that if absolute value of x<1 it converges if >1 it diverges but I forgot how I find what x is. I thought it was R which would be 1. Someone please explain to me as elementary as possible because I am no math major this is my last course/test and I will never use this again.

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