Question

Show $f(x)>g(x)$ under conditions on first /second derivatives and the limit of $f-g$

score 66 · Answer 1 · 2026-04-17 20:30:55

66

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Show $f(x)>g(x)$ under conditions on first /second derivatives and the limit of $f-g$

Published on 17 Apr 2026 - 20:30

score 227 · Answer 2 · 2026-04-14 10:56:22

227

Views

Calculus road constructing

Published on 14 Apr 2026 - 10:56

score 3k · Answer 3 · 2026-05-15 00:42:11

3k

Views

Is this proof that the derivative of $\ln(x)$ is $1/x$ correct?

Published on 15 May 2026 - 0:42

score 1.3k · Answer 4 · 2026-04-16 09:00:25

1.3k

Views

Determine whether the following series converges or diverges. Justify your answer.

Published on 16 Apr 2026 - 9:00

score 2.1k · Answer 5 · 2026-04-17 13:46:35

2.1k

Views

Evaluate $\int_0^1(x\ln(x))^{50}dx$

Published on 17 Apr 2026 - 13:46

score 85 · Answer 6 · 2026-04-16 03:50:15

85

Views

Proving convergence of sequence of functions of sequence

Published on 16 Apr 2026 - 3:50

score 50 · Answer 7 · 2026-04-12 09:13:52

50

Views

Calculus fence and corral

Published on 12 Apr 2026 - 9:13

score 56 · Answer 8 · 2026-05-14 22:06:17

56

Views

Evaluating integrals of periodic functions

Published on 14 May 2026 - 22:06

score 193 · Answer 9 · 2026-04-15 18:52:21

193

Views

$\sum_{n=1}^\infty (n+1) \frac{80^n}{81^n}$ converges.

Published on 15 Apr 2026 - 18:52

score 80 · Answer 10 · 2026-05-11 07:40:46

80

Views

Integration of $x^2$ using double substitution

Published on 11 May 2026 - 7:40

score 194 · Answer 11 · 2026-04-11 02:03:58

194

Views

Difference between derivatives and limits?

Published on 11 Apr 2026 - 2:03

score 61 · Answer 12 · 2026-04-16 13:10:15

61

Views

Find the horizontal asymptotes of $f(x) = \frac{x^3-2}{\lvert x\rvert^3+1}$

Published on 16 Apr 2026 - 13:10

score 175 · Answer 13 · 2026-05-10 13:46:47

175

Views

Parametric differentiation with 3 variables at a given value

Published on 10 May 2026 - 13:46

score 308 · Answer 14 · 2026-05-10 21:11:35

308

Views

Solution of the integral $\int_{0}^{R} x^{\lambda} (1-x)^{\mu-1} K_{1}(a\sqrt{x}) \, dx$

Published on 10 May 2026 - 21:11

score 190 · Answer 15 · 2026-04-14 02:37:25

190

Views

Finding unit digit of $f(10)$

Published on 14 Apr 2026 - 2:37

List Question

Show $f(x)>g(x)$ under conditions on first /second derivatives and the limit of $f-g$

Calculus road constructing

Is this proof that the derivative of $\ln(x)$ is $1/x$ correct?

Determine whether the following series converges or diverges. Justify your answer.

Evaluate $\int_0^1(x\ln(x))^{50}dx$

Proving convergence of sequence of functions of sequence

Calculus fence and corral

Evaluating integrals of periodic functions

$\sum_{n=1}^\infty (n+1) \frac{80^n}{81^n}$ converges.

Integration of $x^2$ using double substitution

Difference between derivatives and limits?

Find the horizontal asymptotes of $f(x) = \frac{x^3-2}{\lvert x\rvert^3+1}$

Parametric differentiation with 3 variables at a given value

Solution of the integral $\int_{0}^{R} x^{\lambda} (1-x)^{\mu-1} K_{1}(a\sqrt{x}) \, dx$

Finding unit digit of $f(10)$

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