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Babak S.

facebook.com/bsorouh

Age: 41

Counting is a less precise tool for infinite sets than for finite ones. The shepherdess who can count her flock of a hundred sheep will know if the wolf has taken one; but, if she has an infinite flock, she won't notice until almost all of her sheep have been lost.

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Peter J. Cameron

All I am doing here as hints or answers, are dedicated to him.

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20
How to compute $\sqrt{i + 1}$
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15
Is there an easy way to calculate $\displaystyle\lim_{k \to \infty} \frac{(k+1)^5(2^k+3^k)}{k^5(2^{k+1} + 3^{k+1})}$?
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14
Is this group abelian?
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13
Show that $({\mathbb{Q}},+)$ is not finitely generated using the Fundamental Theorem of Finitely Generated Abelian Groups.
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12
How do you graph $x + y + z = 1$ without using graphing devices?
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11
Are the orders of these group elements relatively prime?
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11
What is the formula for $1/(1\cdot 2)+1/(2\cdot 3)+1/(3\cdot 4)+\ldots +1/(n(n+1))$
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11
Prove that the additive group $ℚ$ is not isomorphic with the multiplicative group $ℚ^*$.
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10
How to show that $\lim_{n \rightarrow \infty} (\frac{n}{n+a})^n = \frac{1}{e^a}$?
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10
Calculate $\lim_{x\to 0}\frac{\ln(\cos(2x))}{x\sin x}$
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9
The difference between $\frac{\partial^2 y}{\partial x^2}$ and $\frac{\partial y^2}{\partial x^2}$
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8
A property of two functions
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8
Findind the value of $x^4 + 1/x^4$ when $x = 2+3\sqrt{3}$
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8
Power Rule for group
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8
Solve $\;\;y+(x^2y^3-x)y'=0;\;\;y(4)=1$
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7
A non-trivial normal subgroup N of a finite group G or order $p^n$ is such that $N\cap Z(G)\neq \{ 1\}$
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7
Ideas on the ways to integrate $\int \tan^2( x)\sec^3( x) dx$
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7
Evaluating $\int \frac {\sqrt{\tan \theta}} {\sin 2\theta} \ d \theta$
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7
Proving the limit of $\frac{\log(n)^{\log(n)}}{1.01^{n}}$
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7
How solve Cosine with limit
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7
What good are free groups?
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7
Defined integral of a function
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7
Long Integration Question
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7
Geometric summation
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7
Please calculate $\lim_{x\rightarrow 0}\frac{\ln(\cos x)}{x^2}$
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7
Is $f(\sqrt{x})=x$ a function?
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7
how to find inverse of a matrix in $\Bbb Z_5$
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7
How to solve for matrix D in $ABC^{T}DBA^{T}C=AB^{T}$?
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7
Show this equation has at least one root in $(0,1)$
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7
Differential Equation : $f '' = f '$
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