# All Questions

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### Closure of a metric space.

I have a problem about proving the following. Can you please help me? First of all, boundary of A is the set of points that for every r>0 we can find a ball B(x,r) such that B contains points from ...
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### Evaluation of a definite integral.

In my real analysis course I was given this exercise: Calculate $\displaystyle{\int_0^1e^{x^2}dx}$. What I did was to write $\displaystyle{e^{x^2}=\sum_{n=0}^\infty\dfrac{x^{2n}}{n!}}$ and conclude ...