Wednesday, 2 January 2013

calculus - Prove the series suminftyn=1an converges iff suminftyn=100an converges

I just had this problem on a final and I was confused about proving the reverse direction. For example, what if an=1(n1)2?



Then n=100an would converge, but the first term in n=1an would be undefined.




I think I'm missing something. Any help would be appreciated.

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