Question

Precise definition of Multivariable limit

score 346 · Answer 1 · 2026-04-23 15:37:19

Precise definition of Multivariable limit

Published on 23 Apr 2026 - 15:37

score 159 · Answer 2 · 2026-04-16 15:40:30

Evaluate $\lim_{n\to \infty} \left\{\left( \sum_{r=1}^n \ln (r^2+n^2)^{\frac {r}{n^2}}\right) -\frac {\ln n}{n} -\ln n\right\}$

score 656 · Answer 3 · 2026-04-15 09:01:24

656

Views

How to find $\lim\limits_{x\to +\infty} \frac{x^{2}e^{-x}}{x^{2}+1}\sin(xe^{x^{2}})$?

Published on 15 Apr 2026 - 9:01

score 44 · Answer 4 · 2026-04-15 23:59:49

44

Views

Show that $\lim_{\delta\to 0+} \int_{a+\delta}^b f(x)dx = \int_a^b f(x)dx$

Published on 15 Apr 2026 - 23:59

score 179 · Answer 5 · 2026-04-13 04:12:21

179

Views

Help with proof that convergence in measure is equivalent to Cauchy convergence in measure if the space is sigma-finite.

Published on 13 Apr 2026 - 4:12

score 136 · Answer 6 · 2026-04-16 08:09:16

136

Views

Name of theorem that random deviations in $n$ dimensional space tend to normal vector?

Published on 16 Apr 2026 - 8:09

score 20 · Answer 7 · 2026-04-12 14:24:34

20

Views

Question about $O$

Published on 12 Apr 2026 - 14:24

score 60 · Answer 8 · 2026-04-14 01:29:30

60

Views

Is the range correct?

Published on 14 Apr 2026 - 1:29

score 58 · Answer 9 · 2026-04-23 20:26:41

58

Views

Limits of Multivariate Function

Published on 23 Apr 2026 - 20:26

score 2.4k · Answer 10 · 2026-04-13 10:31:49

2.4k

Views

Proof Verification: Show that every polynomial of odd degree with real coefficients has at least one real root.

Published on 13 Apr 2026 - 10:31

score 130 · Answer 11 · 2026-04-16 01:56:47

130

Views

How to evaluate $\lim_{x\to0} \frac{1-\cos(x)}{x^2}$ in terms of $\alpha = \lim_{x\to0} \frac{\sin(x)}{x}$?

Published on 16 Apr 2026 - 1:56

score 425 · Answer 12 · 2026-04-14 20:06:03

425

Views

Prob. 10, Sec. 3.5, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: If $x_1 < x_2$ are arbitrary real numbers and . . .

Published on 14 Apr 2026 - 20:06

score 245 · Answer 13 · 2026-04-29 07:19:48

245

Views

Is it true that if $\lim_{n\to\infty} n^\alpha a_n=+\infty$ for some $0<\alpha<1$ then $n(1-a_n/a_{n+1})\ge-\alpha$?

Published on 29 Apr 2026 - 7:19

score 131 · Answer 14 · 2026-04-14 17:07:05

131

Views

Calculate: $\lim\limits_{x\to 0}{\frac{ \sqrt{x+\sqrt{x+\sqrt{x}}} }{ 2\sqrt{x}+4\sqrt[8]{x}}}$

Published on 14 Apr 2026 - 17:07

score 2.3k · Answer 15 · 2026-04-14 06:13:20

2.3k

Views

How to prove $\lim_{x\to\infty}\frac{x^{99}}{e^x}=\infty$?

Published on 14 Apr 2026 - 6:13

List Question

Precise definition of Multivariable limit

Evaluate $\lim_{n\to \infty} \left\{\left( \sum_{r=1}^n \ln (r^2+n^2)^{\frac {r}{n^2}}\right) -\frac {\ln n}{n} -\ln n\right\}$

How to find $\lim\limits_{x\to +\infty} \frac{x^{2}e^{-x}}{x^{2}+1}\sin(xe^{x^{2}})$?

Show that $\lim_{\delta\to 0+} \int_{a+\delta}^b f(x)dx = \int_a^b f(x)dx$

Help with proof that convergence in measure is equivalent to Cauchy convergence in measure if the space is sigma-finite.

Name of theorem that random deviations in $n$ dimensional space tend to normal vector?

Question about $O$

Is the range correct?

Limits of Multivariate Function

Proof Verification: Show that every polynomial of odd degree with real coefficients has at least one real root.

How to evaluate $\lim_{x\to0} \frac{1-\cos(x)}{x^2}$ in terms of $\alpha = \lim_{x\to0} \frac{\sin(x)}{x}$?

Prob. 10, Sec. 3.5, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: If $x_1 < x_2$ are arbitrary real numbers and . . .

Is it true that if $\lim_{n\to\infty} n^\alpha a_n=+\infty$ for some $0<\alpha<1$ then $n(1-a_n/a_{n+1})\ge-\alpha$?

Calculate: $\lim\limits_{x\to 0}{\frac{ \sqrt{x+\sqrt{x+\sqrt{x}}} }{ 2\sqrt{x}+4\sqrt[8]{x}}}$

How to prove $\lim_{x\to\infty}\frac{x^{99}}{e^x}=\infty$?

Trending Questions

Popular # Hahtags

Popular Questions