- #1
arl146
- 343
- 1
Homework Statement
Find the radius of convergence and interval of convergence of the series:
as n=1 to infinity: (n(x-4)^n) / (n^3 + 1)
Homework Equations
convergence tests
The Attempt at a Solution
i tried the ratio test but i ended up getting x had to be less than 25/4 ...
when i did it, i ended up with [ (n+1)(x-4)(n^3 + 1) ] / [(n+1)^3 + 1]
take out the x-4 from the limit which leaves you with 4/9 * (x-4) and that's how i got it.
am i right or wrong? if so, how? not good at this stuff