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Arjang
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Feb
21
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How to show the polynomial $P= x^{10}+ax^9+bx^8+cx^7+x+1$ always has at least one non-real root?
Feb
21
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How can I simplify $\frac{\sqrt{x} + 1}{x\sqrt{x} + x + \sqrt{x}} : \frac{1}{x^2-\sqrt{x}}$?
Feb
21
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Why $\int_{-1}^1 \frac{1}{x^3}\, \mathrm{d} x \neq 0$?
Feb
21
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Show $\sum_{n=1}^{\infty}\frac{\sinh\pi}{\cosh(2n\pi)-\cosh\pi}=\frac1{\text{e}^{\pi}-1}$ and another
Feb
20
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For what values of x the following series converges?
Feb
20
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Find all integers such that $\frac{n^3-3}{n^2-7}$ is an integer
Feb
20
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Solving $\sum_{x_2 = 0}^{2} \sum_{x_1 = 0 }^{2} c(x_1 + x_2) = 1$ for the constant $c$
Feb
20
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Are the functions $\log(n + 1)$ and $\log(n^2 + 1)$ in $\mathcal{O}(\log n)$?
Feb
20
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Are the functions $\log(n + 1)$ and $\log(n^2 + 1)$ in $\mathcal{O}(\log n)$?
Feb
20
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How to prove: for some $c>0,x>2 , c,x\in \mathbb R , \, \int_2^x \frac{\mathrm dt}{\log t}-\frac{x}{\log x} \leq \frac{cx}{(\log x)^2}$
Feb
20
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Does $1 + \frac{1}{x} + \sqrt{\frac{2x}{x + 1}},$ have a global minimum?
Feb
20
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if $x\le a,x\le f(x)\le a$ and $x_{n+1}=f(x_n)$ then $\lim x_n=a$?
Feb
20
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Find function $f$ such that $ (x_1 + f(x) )^6 + ( x_2 + f(x)^3 )^2 - x_1^6 - x_2^2 < 0$
Feb
20
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Solving $\frac{1}{a}+\frac{1}{b}=\frac{1}{200}\;$
Feb
20
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What does this notation mean? $\frac{\partial f}{\partial x}(x+y)=\frac{\partial }{\partial x}f(x+y)$
Feb
20
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How to solve $x \log^2x - c=0$?
Feb
20
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How to make a string of numbers not to become a square number?
Feb
20
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Upper bound of the sum $\sum_{i=2}^{N}{\frac{1}{\log(i)}}$
Feb
19
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Finding the coefficient of $x^{25}$ in $(1 + x^3 + x^8)^{10}$?
Feb
19
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I need help understanding the following limit : $\lim_{x\to \infty} \left(\frac{f(x+1)}{f(x)}\right)^x$
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