List questions from problem-solving

Published on 22 Dec 2012 - 12:57

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Proof of $n^2 \leq 2^n$.

Published on 12 Apr 2026 - 11:41

89

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check for Continuity $x \rightarrow 2x^4-2$

Published on 23 Dec 2012 - 7:07

749

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prove with $\epsilon$-$\delta$-argument: $x\rightarrow |-2x+3|$ is continuous

Published on 13 Apr 2026 - 0:34

552

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Displacement from variable forces

Published on 14 Apr 2026 - 6:12

271

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how to prove $\left(\frac{n}{3}\right)^n\leq\frac{1}{3}n!$

Published on 24 Dec 2012 - 9:47

278

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prove $\lceil{x}\rceil=-\lfloor-x\rfloor$

Published on 24 Dec 2012 - 21:31

79

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why $\sum_{k=0}^{\infty}(10^{-2})^k = \frac{1}{1-10^{-2}}$

Published on 14 Apr 2026 - 12:39

1.5k

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Find all roots of $\,(x + 1)(x + 2)(x + 3)^2(x + 4)(x + 5) = 360$

Published on 26 Dec 2012 - 2:44

1.2k

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faster and unconventional way of doing maths problem?

Published on 12 Apr 2026 - 5:29

2.4k

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Polar Curve and maximum width

Published on 27 Dec 2012 - 20:56

6.5k

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prove $\sqrt{a_n b_n}$ and $\frac{1}{2}(a_n+b_n)$ have same limit

Published on 30 Dec 2012 - 6:39

20k

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calculate the limit of this sequence $\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1..}}}}$

Published on 30 Mar 2026 - 17:03

3.1k

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Solving $xe^{-x}+2e^{-x}=0$

Published on 30 Dec 2012 - 9:35

103

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How to find the best point?

Published on 13 Apr 2026 - 10:11

List Question

Cluster point of $a_{n}:=n+(-1)^{n}n$

Proof of $n^2 \leq 2^n$.

check for Continuity $x \rightarrow 2x^4-2$

prove with $\epsilon$-$\delta$-argument: $x\rightarrow |-2x+3|$ is continuous

Displacement from variable forces

how to prove $\left(\frac{n}{3}\right)^n\leq\frac{1}{3}n!$

prove $\lceil{x}\rceil=-\lfloor-x\rfloor$

why $\sum_{k=0}^{\infty}(10^{-2})^k = \frac{1}{1-10^{-2}}$

Find all roots of $\,(x + 1)(x + 2)(x + 3)^2(x + 4)(x + 5) = 360$

faster and unconventional way of doing maths problem?

Polar Curve and maximum width

prove $\sqrt{a_n b_n}$ and $\frac{1}{2}(a_n+b_n)$ have same limit

calculate the limit of this sequence $\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1..}}}}$

Solving $xe^{-x}+2e^{-x}=0$

How to find the best point?

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