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user284331

Apparently, this user prefers to keep an air of mystery about them.

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  • Member for 5 years, 7 months
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20 Every convergent sequence is bounded: what's wrong with this counterexample? Apr 8 '18
18 Prove that $\lim_{x\rightarrow 0}\frac{f(x^2)-f(0)}{x}=0$ if $f:\mathbb{R}\rightarrow\mathbb{R}$ is differentiable at $x=0$ Apr 18 '18
16 Integrating the following function Mar 18 '18
15 prove that $\lim\limits_{n\to\infty}\frac{3e^n}{n!}=0$ Dec 23 '17
15 Deriving properties of logarithms from the definition $\ln(x) = \int_{1}^{x} \frac{\mathrm{d}t}{t}$ Apr 12 '18
14 How to solve Rudin Chapter 2 problem 11? Dec 14 '17
14 Proving that $\frac{f(b)-f(a)}{b-a}+ \left(\frac{g(b)-g(a)}{b-a}\right)^2\le \max_{t\in [a,b]}\{f'(t)+(g'(t))^2\}$ Apr 1 '18
11 Given $f$ is absolutely integrable on $[1, \infty)$, prove that $\lim_{n \to \infty} \int_1^\infty f(x^n) dx = 0$ Nov 9 '17
11 Show that $e^{1-n} \leq \frac {n!}{n^n}$ Jan 6 '18
10 Differentiability on the boundary of $[a,b]$ Dec 11 '17
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