Hi, can someone please tell me what is the radius and range of convergence of sum(100^k*(x-1)^(2*k)/k, k = 1 .. infinity) ? Any help would be greatly appreciated :-)
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Originally Posted by Guardna Hi, can someone please tell me what is the radius and range of convergence of sum(100^k*(x-1)^(2*k)/k, k = 1 .. infinity) ? Any help would be greatly appreciated :-) use the ratio test ... $\displaystyle \lim_{k \to \infty} \left|\frac{a_{k+1}}{a_k} \right| < 1 $
Originally Posted by skeeter use the ratio test ... $\displaystyle \lim_{k \to \infty} \left|\frac{a_{k+1}}{a_k} \right| < 1 $ Thank you sir! I was afraid of using the test of d'alembert because i thought k needed to start from 0 and not from 1.
root test is faster, try it.
It is indeed faster, thank you
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