Question

Show that if $\lim\limits_{x \to \infty} f(x)$ exists and $f''$ is bounded, then $\lim\limits_{x \to \infty} f'(x)=0$.

score 1.8k · Answer 1 · 2026-04-07 04:47:54

1.8k

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Show that if $\lim\limits_{x \to \infty} f(x)$ exists and $f''$ is bounded, then $\lim\limits_{x \to \infty} f'(x)=0$.

Published on 07 Apr 2026 - 4:47

score 7.8k · Answer 2 · 2026-03-25 13:34:20

7.8k

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Find $xy+yz+zx$ given systems of three homogenous quadratic equations for $x, y, z$

Published on 25 Mar 2026 - 13:34

score 62 · Answer 3 · 2026-03-25 23:08:34

62

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$a^2+b^2\le c^2+d^2$ where $a<c$ and $b>d$

Published on 25 Mar 2026 - 23:08

score 30 · Answer 4 · 2026-04-11 00:03:46

30

Views

Question on Algebra: Prove inequality by optimization

Published on 11 Apr 2026 - 0:03

score 217 · Answer 5 · 2026-04-12 02:00:24

217

Views

Reference book for functions

Published on 12 Apr 2026 - 2:00

score 29 · Answer 6 · 2018-02-09 16:48:29

29

Views

let $x<0$ such that $kx^2-2x>3k-1$ then find the range of $k$

Published on 09 Feb 2018 - 16:48

score 300 · Answer 7 · 2026-03-24 22:07:46

300

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Showing that $ 1 + 2 x + 3 x^2 + 4 x^3 + \cdots + x^{10} = (1 + x + x^2 + x^3 + x^4 + x^5)^2$

Published on 24 Mar 2026 - 22:07

score 50 · Answer 8 · 2026-04-01 19:06:15

50

Views

Homogenous recurrence representing n*Fib(n)

Published on 01 Apr 2026 - 19:06

score 230 · Answer 9 · 2026-03-26 07:33:34

230

Views

Solve the equation $ { \sqrt{4+\sqrt{4+\sqrt{4-x}}}}=x $

Published on 26 Mar 2026 - 7:33

score 82 · Answer 10 · 2026-04-10 23:09:33

82

Views

Express as function of $z: \sin(a^2+b^2)+\cos(a^2+b^2)i$

Published on 10 Apr 2026 - 23:09

score 1.6k · Answer 11 · 2026-04-09 03:46:07

1.6k

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Beginner questions about how functions work

Published on 09 Apr 2026 - 3:46

score 119 · Answer 12 · 2026-03-29 23:42:49

119

Views

I want to practice algebra&trigonometry precalculus hard problems

Published on 29 Mar 2026 - 23:42

score 308 · Answer 13 · 2026-04-09 03:14:00

308

Views

Evaluate a sum which almost looks telescoping but not quite:$\sum_{k=2}^n \frac{1}{k(k+2)}$

Published on 09 Apr 2026 - 3:14

score 53 · Answer 14 · 2026-04-11 06:27:12

53

Views

Expressing changes done to sequences in terms of changes done to their generating functions.

Published on 11 Apr 2026 - 6:27

score 284 · Answer 15 · 2026-04-09 03:10:33

284

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Compute the values of the Double Sum

Published on 09 Apr 2026 - 3:10

List Question

Show that if $\lim\limits_{x \to \infty} f(x)$ exists and $f''$ is bounded, then $\lim\limits_{x \to \infty} f'(x)=0$.

Find $xy+yz+zx$ given systems of three homogenous quadratic equations for $x, y, z$

$a^2+b^2\le c^2+d^2$ where $a<c$ and $b>d$

Question on Algebra: Prove inequality by optimization

Reference book for functions

let $x<0$ such that $kx^2-2x>3k-1$ then find the range of $k$

Showing that $ 1 + 2 x + 3 x^2 + 4 x^3 + \cdots + x^{10} = (1 + x + x^2 + x^3 + x^4 + x^5)^2$

Homogenous recurrence representing n*Fib(n)

Solve the equation $ { \sqrt{4+\sqrt{4+\sqrt{4-x}}}}=x $

Express as function of $z: \sin(a^2+b^2)+\cos(a^2+b^2)i$

Beginner questions about how functions work

I want to practice algebra&trigonometry precalculus hard problems

Evaluate a sum which almost looks telescoping but not quite:$\sum_{k=2}^n \frac{1}{k(k+2)}$

Expressing changes done to sequences in terms of changes done to their generating functions.

Compute the values of the Double Sum

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