Question

Evaluating $\lim_{x\to \sqrt 2}\frac{\sqrt{3+2x} - (\sqrt 2+1)}{x^2-2}$

score 150 · Answer 1 · 2026-04-16 04:17:45

150

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Evaluating $\lim_{x\to \sqrt 2}\frac{\sqrt{3+2x} - (\sqrt 2+1)}{x^2-2}$

Published on 16 Apr 2026 - 4:17

score 210 · Answer 2 · 2026-05-14 17:51:21

210

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Find $t$ such that $\lim_{n\to\infty} \frac {\sum_{r=1}^n r^4\cdot\sum_{r=1}^n r^5}{\sum_{r=1}^n r^t\cdot\sum_{r=1}^n r^{9-t}}=\frac 45$

Published on 14 May 2026 - 17:51

score 149 · Answer 3 · 2026-05-11 07:22:14

149

Views

Limits of sum integral in exponential form

Published on 11 May 2026 - 7:22

score 62 · Answer 4 · 2026-04-16 09:09:19

62

Views

Prove that, the map $x\mapsto=[x]\cos^2{\pi x}$ is discontinuous at every integer points.

Published on 16 Apr 2026 - 9:09

score 973 · Answer 5 · 2026-04-13 20:13:15

973

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Proving Countable Additivity From Finite Additivity

Published on 13 Apr 2026 - 20:13

score 159 · Answer 6 · 2026-04-14 20:32:57

159

Views

Determine continuity at $(0,0)$ of the function $\frac{e^{xy}-1}{|x|+|y|}$.

Published on 14 Apr 2026 - 20:32

score 72 · Answer 7 · 2026-04-15 16:24:22

72

Views

Prove $\lim_{n\to\infty} \int_0^1 \frac{\cos(x^n)}{1+x^n}\,dx = 1$

Published on 15 Apr 2026 - 16:24

score 109 · Answer 8 · 2026-04-09 16:20:41

109

Views

functions limits

Published on 09 Apr 2026 - 16:20

score 124 · Answer 9 · 2026-04-16 22:25:13

124

Views

Is there a minimum of points that need to be $\epsilon$-close to a point to call this point a limit point?

Published on 16 Apr 2026 - 22:25

score 155 · Answer 10 · 2026-05-10 21:59:10

155

Views

Fraction of $1$s in binary representation of $n!$

Published on 10 May 2026 - 21:59

score 48 · Answer 11 · 2026-05-14 19:05:00

48

Views

Sequences that diverge, limit stuff

Published on 14 May 2026 - 19:05

score 153 · Answer 12 · 2026-05-14 19:02:07

153

Views

Find an "upper bound" for a given sequence.

Published on 14 May 2026 - 19:02

score 118 · Answer 13 · 2026-05-11 05:28:33

118

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Calculate $\lim_{n\to\infty} \sqrt{5n^2+4}~-~\sqrt{5n^2+n}$

Published on 11 May 2026 - 5:28

score 47 · Answer 14 · 2026-04-09 17:47:22

47

Views

Slight change in definition of limit of a function

Published on 09 Apr 2026 - 17:47

score 47 · Answer 15 · 2026-04-11 19:22:03

47

Views

Quick question about bound on certain function while computing limit

Published on 11 Apr 2026 - 19:22

List Question

Evaluating $\lim_{x\to \sqrt 2}\frac{\sqrt{3+2x} - (\sqrt 2+1)}{x^2-2}$

Find $t$ such that $\lim_{n\to\infty} \frac {\sum_{r=1}^n r^4\cdot\sum_{r=1}^n r^5}{\sum_{r=1}^n r^t\cdot\sum_{r=1}^n r^{9-t}}=\frac 45$

Limits of sum integral in exponential form

Prove that, the map $x\mapsto=[x]\cos^2{\pi x}$ is discontinuous at every integer points.

Proving Countable Additivity From Finite Additivity

Determine continuity at $(0,0)$ of the function $\frac{e^{xy}-1}{|x|+|y|}$.

Prove $\lim_{n\to\infty} \int_0^1 \frac{\cos(x^n)}{1+x^n}\,dx = 1$

functions limits

Is there a minimum of points that need to be $\epsilon$-close to a point to call this point a limit point?

Fraction of $1$s in binary representation of $n!$

Sequences that diverge, limit stuff

Find an "upper bound" for a given sequence.

Calculate $\lim_{n\to\infty} \sqrt{5n^2+4}~-~\sqrt{5n^2+n}$

Slight change in definition of limit of a function

Quick question about bound on certain function while computing limit

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