Determine convergence of series using integral test

  • Thread starter lha08
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  • #1
lha08
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Homework Statement


How can i find if the following series is convergent or divergent using the INTEGRAL TEST?
sigma (n=1 to infinity)= n/(n^4+1)


Homework Equations





The Attempt at a Solution


The answer says that the initial step involves changing it to: 1/2(2x)/(1+(x^2)^2)..but why is that?
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
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Hi lha08! :smile:

(try using the X2 tag just above the Reply box :wink:)
sigma (n=1 to infinity)= n/(n^4+1)

The answer says that the initial step involves changing it to: 1/2(2x)/(1+(x^2)^2)..but why is that?

Because ∫dy/(1 + y2) is easy. :wink:
 

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