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I'm trying to calculate the following integral,

in the limit that n goes to infinity:

[tex] \int_{1}^{\infty} \frac{1}{n^2+x^2}dx [/tex]

I would be interested in the answer, but more in the way the answer can be obtained.

I'm rehearsing an old exam, but the first question is already a problem :(.

Any help would be greatly appreciated,

edit: i already looked on the internet, and in textbooks on how to accomplish this. But i only find integrals in which n doesn't go to infinity, but is a constant.

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# Integral \int_{1}^{\infty} \frac{1}{n^2+x^2}dx

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