I need to find the interval on convergence of the given power series I am trying to do summation of nx^x I am using s(n+1)/s(n) to solve the problem, but am having trouble getting an answer. Thanks for the help.
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Originally Posted by davecs77 I need to find the interval on convergence of the given power series I am trying to do summation of nx^x I am using s(n+1)/s(n) to solve the problem, but am having trouble getting an answer. Thanks for the help. We wish to find the radius of convergence for We will proceed by the Ratio test (since that's what you wanted, I'd probably do the root test here). Let by the Ratio test, we have convergence if Now, Thus we have convergence if so our radius of convergence is 1
Originally Posted by Jhevon i believe it should be x^n, am i right? oops I messed up..actually it should be summation of nx^(n)
Originally Posted by davecs77 oops I messed up..actually it should be summation of nx^(n) yes, i realize that, i already gave you the required solution
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