Question

$a_{n+1}=\frac2{a_n+a_{n−1}}$ . Prove that this sequence has a limit.

score 140 · Answer 1 · 2026-04-17 15:45:55

140

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$a_{n+1}=\frac2{a_n+a_{n−1}}$ . Prove that this sequence has a limit.

Published on 17 Apr 2026 - 15:45

score 3.4k · Answer 2 · 2026-04-12 16:57:57

3.4k

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Boundary point & critical point of a function

Published on 12 Apr 2026 - 16:57

score 68 · Answer 3 · 2026-04-15 07:18:04

68

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Example of a function $f:\mathbb{R}^2\rightarrow\mathbb{R}$ such that $\partial_{u}f \neq \nabla f.\vec{u}$

Published on 15 Apr 2026 - 7:18

score 33.7k · Answer 4 · 2026-04-14 15:17:33

33.7k

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score 466 · Answer 5 · 2026-05-03 09:16:32

466

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score 67 · Answer 6 · 2026-04-13 10:22:36

67

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score 1.4k · Answer 7 · 2026-04-11 20:42:16

1.4k

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score 227 · Answer 8 · 2026-04-29 12:25:54

227

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score 43 · Answer 9 · 2026-04-12 18:47:31

43

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score 68 · Answer 10 · 2026-04-11 09:47:32

68

Views

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Published on 11 Apr 2026 - 9:47

score 37 · Answer 11 · 2026-04-16 01:07:35

37

Views

$a, b$ so $f(x)=x^2\sin(1/x+1), x>0$ $f(x)= ax+b, x \le 0$ becomes continuous at $x=0$

Published on 16 Apr 2026 - 1:07

score 139 · Answer 12 · 2026-04-10 16:20:04

139

Views

Explain why discontinuous function is Riemann-Integrable

Published on 10 Apr 2026 - 16:20

score 280 · Answer 13 · 2026-04-29 12:27:24

280

Views

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Published on 29 Apr 2026 - 12:27

score 233 · Answer 14 · 2026-04-24 02:20:41

233

Views

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score 87 · Answer 15 · 2026-04-11 02:53:01

87

Views

Showing that $f(x)$ is well-defined and continuous on $\mathbb{R} \setminus \mathbb{Z}$.

Published on 11 Apr 2026 - 2:53

List Question

$a_{n+1}=\frac2{a_n+a_{n−1}}$ . Prove that this sequence has a limit.

Boundary point & critical point of a function

Example of a function $f:\mathbb{R}^2\rightarrow\mathbb{R}$ such that $\partial_{u}f \neq \nabla f.\vec{u}$

Area enclosed between 3 curves

What does $df=g(x)dx$ mean?

Power tower convergence outside of convergence bounds, where did I go wrong?

Second Derivative of a Linear Transformation

Implicit Differentiation Doubt

Trying to better understand the derivation of the Taylor remainder function

Hard time understanding what the significance of the tail of a sequence is?

$a, b$ so $f(x)=x^2\sin(1/x+1), x>0$ $f(x)= ax+b, x \le 0$ becomes continuous at $x=0$

Explain why discontinuous function is Riemann-Integrable

Finding the volume bounded by surface in spherical coordinates

Sufficient condition for Integration by Parts

Showing that $f(x)$ is well-defined and continuous on $\mathbb{R} \setminus \mathbb{Z}$.

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