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Prove that $f( \limsup \limits_{x \to +\infty} x_n)$ = $ \limsup \limits_{x \to +\infty} f(x_n)$

Feb 1, 2022

Find the limit of $(1+\frac{1}{n^2})(1+\frac{2}{n^2})...(1+\frac{n}{n^2})$.

Feb 6, 2022

How to solve $\lfloor x \rfloor + \lfloor \frac{1}{x} \rfloor = 1$?

Jan 4, 2022

Question about the proof that if x is a real number then there exists a postive integer n such that -n < x < n.

Dec 20, 2021

How can I find the sup and inf of $m/n$ such that m,n are natural numbers and $m<2n$?

Dec 22, 2021

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An example of a linear map such that $Ker(f) \cap Im(f) \neq {0}$ and $f: R^2 \to R^2$

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Find the minimum average life of a hard disk

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I am not sure whether my friend is saying the truth or if he's lying, how can I get the correct information out of him using logic?

+10

How to integrate $\frac{\cos2x}{ \sin x + \sin 3x}$?

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