Wednesday, 22 April 2015

real analysis - Show that sumin=1nfty(frac1an+1frac1an) converges

Let (an)n be a sequence, in which an0 for all nN, and limnan=. Show that n=1(1an+11an) converges.



I tried to use the Cauchy Criterion but couldn't conclude anything. Can someone help?

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