Question

Proof for sequence $\frac{n^5}{3^n} \rightarrow 0$

score 67 · Answer 1 · 2018-11-16 17:39:00

67

Views

Proof for sequence $\frac{n^5}{3^n} \rightarrow 0$

Published on 16 Nov 2018 - 17:39

score 738 · Answer 2 · 2018-11-19 14:50:03

738

Views

Proof Verification: Differentiability implies continuity.

Published on 19 Nov 2018 - 14:50

score 180 · Answer 3 · 2018-11-20 20:24:45

180

Views

If $f$ is uniformly continuous on $[1,4]$ and uniformly continuous on $[2,5]$ is $f$ uniformly continuous on $[1,5]$?

Published on 20 Nov 2018 - 20:24

score 63 · Answer 4 · 2018-11-20 20:52:18

63

Views

Prove continuity by definition and epsilon-delta property. $g(x)=\sqrt{2x+1} , x_0=-0.5$

Published on 20 Nov 2018 - 20:52

score 230 · Answer 5 · 2026-03-26 03:12:33

230

Views

Proving that continuity and the lim sup of a given set being 0 are equivalent

Published on 26 Mar 2026 - 3:12

score 38 · Answer 6 · 2018-11-21 15:46:17

38

Views

Find $\delta(\varepsilon)$ function

Published on 21 Nov 2018 - 15:46

score 72 · Answer 7 · 2018-11-21 16:28:24

72

Views

Proof verification of $\lim_{n \to \infty}\frac{q^n}{n} = 0$ for $|q| < 1$ using $\epsilon$ definition

Published on 21 Nov 2018 - 16:28

score 138 · Answer 8 · 2018-11-22 12:28:16

138

Views

Prove that the limit of the sequence $a_n:=\frac{6n+1}{2n+5}$ is 3, using the Epsilon definition.

Published on 22 Nov 2018 - 12:28

score 114 · Answer 9 · 2018-11-22 15:49:40

114

Views

Proof verification of $x_n = \frac{2-\cos\pi n}{2+\cos \pi n}$ does not have a limit using $\varepsilon$ definition

Published on 22 Nov 2018 - 15:49

score 49 · Answer 10 · 2018-11-23 13:57:39

49

Views

Proof verification of $x_n = \frac{n^2 - 2n}{n+1}$ diverges using $\varepsilon$ definition.

Published on 23 Nov 2018 - 13:57

score 107 · Answer 11 · 2018-11-23 16:04:52

107

Views

Limit of $\sqrt{x}$ as $x$ approaches $a$. Delta-epsilon.

Published on 23 Nov 2018 - 16:04

score 118 · Answer 12 · 2018-11-23 16:27:06

118

Views

Prove validation of if $\lim_{n\to\infty}\{x_n\} = a$ then $\lim_{n\to\infty}\{|x_n|\} = |a|$

Published on 23 Nov 2018 - 16:27

score 34 · Answer 13 · 2018-11-25 17:37:45

34

Views

Show that $f$ is a continuous function.

Published on 25 Nov 2018 - 17:37

score 488 · Answer 14 · 2018-11-26 09:10:42

488

Views

Thomae function

Published on 26 Nov 2018 - 9:10

score 158 · Answer 15 · 2018-11-26 16:14:12

158

Views

Prove that if a sequence converges then $\lim{x_n} = \lim \sup {x_n}$ or $\lim{x_n} = \lim \inf {x_n}$

Published on 26 Nov 2018 - 16:14

List Question

Proof for sequence $\frac{n^5}{3^n} \rightarrow 0$

Proof Verification: Differentiability implies continuity.

If $f$ is uniformly continuous on $[1,4]$ and uniformly continuous on $[2,5]$ is $f$ uniformly continuous on $[1,5]$?

Prove continuity by definition and epsilon-delta property. $g(x)=\sqrt{2x+1} , x_0=-0.5$

Proving that continuity and the lim sup of a given set being 0 are equivalent

Find $\delta(\varepsilon)$ function

Proof verification of $\lim_{n \to \infty}\frac{q^n}{n} = 0$ for $|q| < 1$ using $\epsilon$ definition

Prove that the limit of the sequence $a_n:=\frac{6n+1}{2n+5}$ is 3, using the Epsilon definition.

Proof verification of $x_n = \frac{2-\cos\pi n}{2+\cos \pi n}$ does not have a limit using $\varepsilon$ definition

Proof verification of $x_n = \frac{n^2 - 2n}{n+1}$ diverges using $\varepsilon$ definition.

Limit of $\sqrt{x}$ as $x$ approaches $a$. Delta-epsilon.

Prove validation of if $\lim_{n\to\infty}\{x_n\} = a$ then $\lim_{n\to\infty}\{|x_n|\} = |a|$

Show that $f$ is a continuous function.

Thomae function

Prove that if a sequence converges then $\lim{x_n} = \lim \sup {x_n}$ or $\lim{x_n} = \lim \inf {x_n}$

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