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Axion004
  • Member for 8 years, 8 months
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10 votes

Value of $\frac{\sqrt{10+\sqrt{1}}+\sqrt{10+\sqrt{2}}+\cdots+\sqrt{10+\sqrt{99}} }{\sqrt{10-\sqrt{1}}+\sqrt{10-\sqrt{2}}+\cdots+\sqrt{10-\sqrt{99}}}$

7 votes

Is there an easy way to see that ${1\over5} + \frac{1}{6} + \frac{1}{7} + \frac{1}{8} + \frac{1}{9} + \frac{1}{10} + \frac{1}{11} + \frac{1}{12} > 1$?

7 votes
Accepted

Evaluate $\int_{0}^{+\infty} e^{-x} \ln^{2} x \text{d}x$ without complex analysis

5 votes

Unexpected appearances of $\pi^2 /~6$.

5 votes

Double sum divergence

5 votes
Accepted

What does the semicolon (";") mean in "$a\in(2;3)$"?

5 votes

Which is bigger 5^(√3) and 4^(√5)?

5 votes

Good undergraduate texts in analysis for self studying

5 votes

Calculating $ \lim_{x \to 0} (\frac{x\cdot\sin{x}}{|x|}) $

4 votes
Accepted

How can I find an $f'(x)$ such that $f'(x) = f(x)(1 - f(x))$?

4 votes

How to find $\lim_{(x,y) \to (0,0) } \frac{x+2y}{\sqrt{x^2+y^2}}$?

4 votes

How do I find the indefinite integral for $\int \frac{6}{2x-x^2}dx$?

4 votes

Applied Math Foundational Books

4 votes
Accepted

Solution to the $\displaystyle \phi'' + 4\phi' + 3\phi = x \cos {3x}. $

4 votes

A comprehensive book on graduate real analysis

4 votes
Accepted

Reformulate $x/(x+y)$ using a single $x$ and $y$

4 votes

The derivative of $ \tan x$ is $ \sec^2 x$. Why?

4 votes

what does the common difference of a sequence describe

4 votes

algebra need help

4 votes
Accepted

constant evaluation when using differential equations.

4 votes

Find all solutions in modular arithmetic

4 votes
Accepted

Proving $a^2 + b^2 + c^2 \geqslant ab + bc + ca$

4 votes
Accepted

Find the inverse Laplace transform of $X(S)= \frac{2+2s e^{-2s}+4e^{-4s}}{s^2+4s+3}$ with $\Re(s)>-1$

4 votes

Solve binomial coefficient equation

4 votes
Accepted

Prove that $3x^6+12x^5+9x^4-24x^3+9x^2-4x+3=0$ does not have any real root.

4 votes

What is the period of the $f(x)=\sin x +\sin3x$?

3 votes

Laplace transform of integral constant

3 votes

Infinite series that surprisingly converge?

3 votes
Accepted

Simplifying a differential equation using a substitution.

3 votes

Prove: $n\log(n^2) + (\log\ n)^2 = O(n\log(n))$

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