- #1

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I came across the following integral in contour integration

lim(ε→0) "integral of" exp(iaεe

^{iθ}) dθ = θ

If I take the limit first then it just becomes the integral of 1 which is θ.

I have 2 questions -

If I take the limit first and then perform the integral do I always get the same answer as when I do the integral first and then take the limit ? In other words does the order of operations matter ?

If I wanted to do the integral first , how do I integrate the exponential of an exponential ? I have never seen one before.

Thanks