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OpenStudy (anonymous):
sequence 1/n is convergent but series1/n is divergent why?
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OpenStudy (anonymous):
Because the sequence doesn't converge fast enough.
OpenStudy (anonymous):
1/n^2 is convergent but 1/n is not so think of how much bigger n^2 is compared to n when n approaches infinity, as a result, 1/n doesn't get small enough fast enough to ever converge
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