Question

$\lim_{a\rightarrow 0} \int_0^1 \frac{1}{1+a\sin(x)} \, \mathrm{d}x$

score 65 · Answer 1 · 2026-04-17 01:06:34

65

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$\lim_{a\rightarrow 0} \int_0^1 \frac{1}{1+a\sin(x)} \, \mathrm{d}x$

Published on 17 Apr 2026 - 1:06

score 12.6k · Answer 2 · 2026-04-09 14:44:17

12.6k

Views

How do I tell if a function is continuous?

Published on 09 Apr 2026 - 14:44

score 86 · Answer 3 · 2026-04-16 07:07:13

86

Views

Does the following operator map monotonic $C^1$ functions into monotonic $C^1$ functions?

Published on 16 Apr 2026 - 7:07

score 162 · Answer 4 · 2026-05-11 09:45:09

162

Views

Lagrange multipliers from hell - extreme edition

Published on 11 May 2026 - 9:45

score 1.1k · Answer 5 · 2026-04-14 16:14:26

1.1k

Views

Spivak's Calculus: Chapter 1, Problem 18b (Quadratic determinant less than zero)

Published on 14 Apr 2026 - 16:14

score 59 · Answer 6 · 2026-04-15 14:11:20

59

Views

Function that has a point with zero derivative and that point is not maximum nor minimum and not inflection point

Published on 15 Apr 2026 - 14:11

score 110 · Answer 7 · 2026-04-13 23:51:10

110

Views

How is the constant of integration being included in the final derivation?

Published on 13 Apr 2026 - 23:51

score 372 · Answer 8 · 2026-05-11 08:28:48

372

Views

"Unrolling" a 3d wedge

Published on 11 May 2026 - 8:28

score 149 · Answer 9 · 2026-05-14 04:41:25

149

Views

Why $\lim_{n\to \infty} \left(1+ \frac 1n \right)^n=e$ doesn't imply $\lim_{n\to \infty} \left(1+\frac 1n \right)≠1?$

Published on 14 May 2026 - 4:41

score 35 · Answer 10 · 2026-04-11 13:32:54

35

Views

Solving an inequality with a floor function

Published on 11 Apr 2026 - 13:32

score 2.2k · Answer 11 · 2026-05-10 20:50:56

2.2k

Views

Why can you neglect higher order terms as a variable tends to zero?

Published on 10 May 2026 - 20:50

score 451 · Answer 12 · 2026-04-10 19:07:50

451

Views

Alternative methods to solving system of equations

Published on 10 Apr 2026 - 19:07

score 395 · Answer 13 · 2026-05-11 04:35:02

395

Views

Delta Epsilon Proof for Ratio of Polynomials

Published on 11 May 2026 - 4:35

score 59 · Answer 14 · 2026-04-24 20:02:39

59

Views

Does the inequality used in the squeeze theorem have to hold true for all values of n?

Published on 24 Apr 2026 - 20:02

score 70 · Answer 15 · 2026-04-14 04:18:56

70

Views

Does global minimum imply "minimal neighbourhood"

Published on 14 Apr 2026 - 4:18

List Question

$\lim_{a\rightarrow 0} \int_0^1 \frac{1}{1+a\sin(x)} \, \mathrm{d}x$

How do I tell if a function is continuous?

Does the following operator map monotonic $C^1$ functions into monotonic $C^1$ functions?

Lagrange multipliers from hell - extreme edition

Spivak's Calculus: Chapter 1, Problem 18b (Quadratic determinant less than zero)

Function that has a point with zero derivative and that point is not maximum nor minimum and not inflection point

How is the constant of integration being included in the final derivation?

"Unrolling" a 3d wedge

Why $\lim_{n\to \infty} \left(1+ \frac 1n \right)^n=e$ doesn't imply $\lim_{n\to \infty} \left(1+\frac 1n \right)≠1?$

Solving an inequality with a floor function

Why can you neglect higher order terms as a variable tends to zero?

Alternative methods to solving system of equations

Delta Epsilon Proof for Ratio of Polynomials

Does the inequality used in the squeeze theorem have to hold true for all values of n?

Does global minimum imply "minimal neighbourhood"

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