Solving Power Series with Integral Test for Homework

[jaqueh]

Homework Statement

My professor says that the integral test is supposed to help me figure out the interval of convergence of this equation:
Ʃ(2ⁿ*(x+1)ⁿ)/(n*ln(n))

Homework Equations

integral test

The Attempt at a Solution

i couldn't figure out what the power series was after i differentiated the first few terms of it.

 

[jaqueh]

Why can't i edit my original post? anyways the power series goes from 2 to infinity

 

[jaqueh]

am i going about this even the right way? please someone i beg you to help me , i have my final tomorrow and this was the last practice problem and i really am worried that something of this caliber will be on the final.

 

[jaqueh]

pict

 

[Dick]

Being in a panic doesn't help. You don't need an integral test to find a basic interval of convergence. A ratio test will do fine. An integral test may help at the endpoints though.

 

[jaqueh]

omg i misunderstood everything, wow i should do the problem before i read emails, thank you for clearing that up