Question

consider the power series of the sum of (-3)^n(x+6)^n/(n)^(1/2) on interval [1,infinity] what is the radius of convergence and the interval of convergence

Answer 1

i know you are suppose to use the root test and i got R=1/3 and the interval [-19/3,-17/3] but it was incorrect I was wondering what i did wrong?

Answer 2

I = (-19/3 , -17/3]
It's divergent at -19/3

Answer 3

thanks! i forgot about the bracket