Mathematics
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user284331
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All Questions Answers
Score Newest
answer
20
Every convergent sequence is bounded: what's wrong with this counterexample?
Apr 8, 2018
answer
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, 2018
answer
16
Integrating the following function
Mar 18, 2018
answer
15
Deriving properties of logarithms from the definition $\ln(x) = \int_{1}^{x} \frac{\mathrm{d}t}{t}$
Apr 12, 2018
answer
15
prove that $\lim\limits_{n\to\infty}\frac{3e^n}{n!}=0$
Dec 23, 2017
answer
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, 2018
answer
14
How to solve Rudin Chapter 2 problem 11?
Dec 14, 2017
answer
11
Is the Space $C^\alpha$ separable?
Jan 19, 2018
answer
11
Finding $\lim_{x \to \infty} x(\ln(1+x) - \ln(x))$ without l'Hopital
Dec 3, 2017
answer
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, 2017

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