Homework Help: College Calculus

Posted by Mandy on Monday, March 24, 2008 at 8:05pm.

Suppose the series An (from n=1 to INF) is known to be convergent. Prove that series 1/(An) (from n=1 to INF) is a divergent series.

I have no idea what to do... please help!

College Calculus - Count Iblis, Monday, March 24, 2008 at 11:24pm
If the series is convergent then you know that An tends to zero, therefore 1/An tends to infinity and thus the second series cannot converge

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