find convergent set of the power series

find the convergent set of the power series.

heres the equation for problem2: http://img297.imageshack.us/img297/6606/untitledoy2.jpg

Use the ratio test,

Thus, the radius of convergence is the reciprocal of that, namely, 1.
Thus,

Is absolute convergence.
Check endpoints .
For have an incomplete harmonic series thus it diverges.
And for we have an incomplete alterning harmonic thus it converges.

Is the interval of convergence.

thankyou.