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Aug
25
answered Sum of $ \ \frac{1}{(\ln k)^{\ln k}} \ $
Aug
22
answered Does the integral $\int_0^{\pi} \frac{dx}{sin(2x)+cos(3x)}$ exist?
Aug
16
answered How to show that $\sum\limits^\infty_{n=0}a_n(\frac{2x}{1+x})^n$ is continuous?
Aug
14
comment Show that $\left\|\int\limits_a^bf(x)dx\right\|\leq\int\limits_a^b\|f(x)\|dx$
I went from the definition $I = \int f$ to the displayed line. Because the answer was short I thought that would be enough. This is not worth discussing.
Aug
14
comment Show that $\left\|\int\limits_a^bf(x)dx\right\|\leq\int\limits_a^b\|f(x)\|dx$
I see now you mean inner product, never mind
Aug
13
answered Does $\cos (\pi/5)$ belong to $\mathbb{Q} (\sin(\pi/5))$?
Aug
13
answered If $f(x) = \max\left|2\sin y-x\right|,$ Then $\min.$ value of $f(x)$
Aug
13
comment If $f(x) = \max\left|2\sin y-x\right|,$ Then $\min.$ value of $f(x)$
he probably means $\sup_y |2\sin y - x|$.
Aug
8
revised Find $\lim\limits_{x\to 0}\frac{\sqrt[m]{1+P(x)}-1}{x}$ if $P(x)=\sum\limits_{k=1}^{n}a_kx^k,a_1\neq 0, m\in \mathbb{N}$
added 77 characters in body
Aug
8
answered Find $\lim\limits_{x\to 0}\frac{\sqrt[m]{1+P(x)}-1}{x}$ if $P(x)=\sum\limits_{k=1}^{n}a_kx^k,a_1\neq 0, m\in \mathbb{N}$
Aug
6
comment Does this number blow up or go to zero?
I think you mean "can't quite", and yes you are correct.
Aug
6
answered Does this number blow up or go to zero?
Aug
4
comment First 10 digits after decimal point in the number $(1+\sqrt{3})^{2015}$
Hint: $(1 + \sqrt{3})^{2015} + (1 - \sqrt{3})^{2015}$ is an integer since every other term in the binomial expansion cancels...
Jul
28
answered How to prove $f(x)=\sqrt{x+2\sqrt{2x-4}}+\sqrt{x-2\sqrt{2x-4}}$ is not differentiable at $x=4$?
Jul
16
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Jun
10
answered Prove $\lim\limits_{n\to\infty}\frac{1}{\sqrt[n]{n!}}=0$
Jun
4
answered Evaluate $\lim\limits_{n\to\infty}(\frac{3}{x^{4n}}+1)^\frac{1}{n},|x|<1,n\in\mathbb{N}$
Jun
2
comment Is my string of inequalities correct?
Let $a = -s$ to see why
Jun
1
answered convergence sequence $\left(\frac{\ln(n+p)}{\ln(n)}\right)^{n\ln(n)}$
May
31
answered Show that $f(z)$ is constant