find the convergent set of the power series.

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

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- January 31st 2007, 08:38 AMrcmangofind 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 - January 31st 2007, 10:45 AMThePerfectHacker
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. - January 31st 2007, 05:06 PMrcmango
thankyou.