Question

Proof that $\tan(x)\leq{}x-\frac{\pi}{4}+\tan(\frac{\pi}{4})$ using the Mean Value Theorem

score 435 · Answer 1 · 2026-04-13 10:31:16

435

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Proof that $\tan(x)\leq{}x-\frac{\pi}{4}+\tan(\frac{\pi}{4})$ using the Mean Value Theorem

Published on 13 Apr 2026 - 10:31

score 703 · Answer 2 · 2026-04-14 04:49:44

703

Views

Proving that the power series for the cosine function is greater than zero, for $x$ in $[0, \pi/2)$.

Published on 14 Apr 2026 - 4:49

score 191 · Answer 3 · 2026-04-27 12:22:10

191

Views

Showing that an injective Darboux function is strictly monotone.

Published on 27 Apr 2026 - 12:22

score 167 · Answer 4 · 2026-04-12 00:44:36

167

Views

Prove the definition of the arcsin(s).

Published on 12 Apr 2026 - 0:44

score 918 · Answer 5 · 2026-04-19 21:26:11

918

Views

Proof by induction coins

Published on 19 Apr 2026 - 21:26

score 35 · Answer 6 · 2026-04-10 12:12:45

35

Views

Suggestions for making proof flow better

Published on 10 Apr 2026 - 12:12

score 79 · Answer 7 · 2026-04-16 13:59:24

79

Views

Find a finite automaton such that the language accepted by it is the set of even numbers in binary notation

Published on 16 Apr 2026 - 13:59

score 119 · Answer 8 · 2026-04-13 00:05:30

119

Views

A corrispondence between maximal ideals

Published on 13 Apr 2026 - 0:05

score 3.7k · Answer 9 · 2026-04-14 22:47:30

3.7k

Views

Prove inverse of strictly monotone increasing function is continuous over the range of original function

Published on 14 Apr 2026 - 22:47

score 157 · Answer 10 · 2026-04-10 04:50:01

157

Views

Heine theorem without subsequences

Published on 10 Apr 2026 - 4:50

score 71 · Answer 11 · 2026-04-09 10:03:12

71

Views

Proof that $(n+1)m!>(m+1)!−1$ does not hold for $m>n$

Published on 09 Apr 2026 - 10:03

score 90 · Answer 12 · 2026-04-17 04:29:17

90

Views

Prove $\sin^{-1}(1)\geq \int_0^b1/\sqrt{1-x^2}dx +(1-b)\pi/2$ for $b \in [0,1)$

Published on 17 Apr 2026 - 4:29

score 111 · Answer 13 · 2026-04-17 02:49:46

111

Views

Proving uniform convergence of a sequence of functions.

Published on 17 Apr 2026 - 2:49

score 95 · Answer 14 · 2026-04-13 14:55:21

95

Views

For all integers of n, $n$ is divisible by $2 \iff n^4$ is divisible by $2$

Published on 13 Apr 2026 - 14:55

score 91 · Answer 15 · 2026-04-16 07:07:31

91

Views

Show that $ (p \lor (q \land r)) \land p \iff ( \neg p \lor (q \land r) \implies p) $ is valid.

Published on 16 Apr 2026 - 7:07

List Question

Proof that $\tan(x)\leq{}x-\frac{\pi}{4}+\tan(\frac{\pi}{4})$ using the Mean Value Theorem

Proving that the power series for the cosine function is greater than zero, for $x$ in $[0, \pi/2)$.

Showing that an injective Darboux function is strictly monotone.

Prove the definition of the arcsin(s).

Proof by induction coins

Suggestions for making proof flow better

Find a finite automaton such that the language accepted by it is the set of even numbers in binary notation

A corrispondence between maximal ideals

Prove inverse of strictly monotone increasing function is continuous over the range of original function

Heine theorem without subsequences

Proof that $(n+1)m!>(m+1)!−1$ does not hold for $m>n$

Prove $\sin^{-1}(1)\geq \int_0^b1/\sqrt{1-x^2}dx +(1-b)\pi/2$ for $b \in [0,1)$

Proving uniform convergence of a sequence of functions.

For all integers of n, $n$ is divisible by $2 \iff n^4$ is divisible by $2$

Show that $ (p \lor (q \land r)) \land p \iff ( \neg p \lor (q \land r) \implies p) $ is valid.

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