Jebei
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### Questions (21)

 5 X is a compact metric space, which of the following must be true? 4 How to evaluate $\int_{0}^{\pi} \log(2+\cos x)dx$? [duplicate] 3 How to prove two topologies $\mathcal{T}_1,\mathcal{T}_2$ are not equal 3 Prove that every irreducible cubic monic polynomial over $\mathbb F_{5}$ has the form $P_{t}(x)=(x-t_{1})(x-t_{2})(x-t_{3})+t_{0}(x-t_{4})(x-t_{5})$? 2 Is this proof about $\pi$ is irrational correct?

### Reputation (326)

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 2 How to calculate $\displaystyle\lim_{x \to \infty} \left ( \frac{x+2}{x} \right )^{x}=e^{2}$ 0 How to find $\lim_{(x,y)\rightarrow (0,0)} \frac{e^{-x^{2}} - y}{x^{2}+y^{2}}$? 0 $5(x + 2) + 2(x-3) < 3(x - 1) + 4x$ leads to nowhere, but why? 0 Why study linear algebra?

### Tags (28)

 2 calculus × 7 0 differential-equations × 2 2 limits × 3 0 integration × 2 0 general-topology × 8 0 polynomials × 2 0 real-analysis × 6 0 irreducible-polynomials 0 abstract-algebra × 3 0 ring-theory

### Accounts (5)

 Mathematics 326 rep 113 Meta Stack Exchange 131 rep 3 Chinese Language 117 rep 2 Stack Overflow 101 rep 2 MathOverflow 101 rep 2