Hi I need hints on any of these questions. I wasn’t able to express the series as a geometric sum or anything I could work with:

1. Prove that 1+1/2+1/3+...+1/1000<10

2. Prove that 1 + 1/2 + 1/3 + 1/4 + ... equals infinity

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- Nov 2nd 2009, 05:05 AM #1

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- Nov 2nd 2009, 07:01 AM #2

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One question per thread please.

#2)Use the Integral Test.