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posted by  mira on 11/20/2008 1:56:30 PM  |  status: Live  

series/sequence

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Question Details:
is the following series converging or diverging
Σ from n=1 to ∞
(-1)^n/√[5+ln n]
Tags: Calculus

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posted by Routh on 11/20/2008 6:54:01 PM  |  status: Live
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mira's comment:
"thanks a lot"
Response Details:
Converges  by  the conditon of Alternating series to be covergent .
 
since 1/√(5+ln n)e is monotonically decreasing and converging to 0  as n goes to inf.
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