- #1
flyingpig
- 2,579
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Homework Statement
Before I state my problem, I need to quote this from my book
http://img18.imageshack.us/img18/3748/comparisonnr.th.jpg
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http://img806.imageshack.us/img806/8665/integraltest.th.jpg
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See the problem here?
Let me draw out the Integral Test for you.
http://img858.imageshack.us/i/droppingcurve.jpg/
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As you can see that for [tex]\sum_{n=1}^{\infty } a_n \leq \int_{1}^{\infty} f(x) dx[/tex]
For even if the integral diverges or converges, the series will diverge or converge respectively. This contradicts the comparison test no?
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