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2
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Closed formula for the asymptotic limit of a definite integral
I would like to solve the following integral:
$$ I_0 (a,b)= \int_0^1 dx\int_0^{1-x} dz \frac{1}{a z (z-1)+a x z + x(1-b)}$$
in the limit where $b$ is small ($a$ and $b$ are positive constants).
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4
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2
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Evaluating $\lim_{x \to 0}\frac{(1+x)^{1/x} - e}{x}$ [duplicate]
How to evaluate the following limit? $$\lim_{x \to 0}\frac{(1+x)^{1/x} - e}{x}.$$
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