# Tagged Questions

2answers
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### Sequence of polynomials converging to zero function

Find a sequence of polynomials $(f_n)$ such that $f_n \rightarrow 0$ point wise on $[0,1]$ and $\int_0^1 f_n(x) \rightarrow 3$. Calculate $\int_0^1 \sup_n |f_n(x)| dx$ for this sequence of ...
1answer
178 views

### prove equality with integral and series

I am stuck on one question with integral. Help me please to show that with $n=1$ the following is true  ...
0answers
132 views

### integral with Bessel function

Let $n$ be half an odd integer, say $n=k+1/2, k \in Z$. Let $q\geq 1$. I would like to calculate (or approximate) the following integral  \int_0^{\infty}\left(\sqrt{\frac{\pi}{2}}\cdot 1\cdot 3\cdot ...
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