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Mathematics
Calculus
Series and Sequences
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!
1 answer
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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