I've been playing around with a free PDF Calculus book lately. But, I have no way to check the logic used to get to a particular answer. I've been trying to find the standard part for:(adsbygoogle = window.adsbygoogle || []).push({});

(1/ɛ)((1/sqrt(4+ɛ))-(1/2))

I've tried every way I could think of to algebraically manipulate this in order to avoid dividing by zero (taking the standard part of 1/ɛ). Just by looking at the problem, I would think it would be undefined...but the odd answers tell me otherwise.

Thanks :)

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# A problem with infinitesimals

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