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posted by  alexia on 10/31/2009 11:24:54 PM  |  status: Closed  |  Earned Karma: 50

series

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N/A N/A N/A N/A 11/1/2009 at 7:00:00 AM
Question Details:
use an appropiate test to dertermine if the series diverges or converges.
∞
Σ      ln n
n=0    n
Tags: Calculus
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Oracle
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posted by hado on 10/31/2009 11:39:09 PM  |  status: Live
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Response Details:
Using Integral test

Let
==>

==>

==>

By Integral test, given series is divergent
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posted by new_sylar on 11/1/2009 4:47:07 AM  |  status: Live
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Response Details:
Observing the problem give you idea that here a function (ln(x)) and it's derivative is present.
So for these type of problems we approach integral test .

On using integral test

Given function integral F =f^f/2

which is square of ln(x)

which is not evaluable means --∞ so here function is divergent
-------Ford :p
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