Question

Proving pointwise convergence of the following sequence of functions

score 279 · Answer 1 · 2026-04-15 03:32:28

279

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Proving pointwise convergence of the following sequence of functions

Published on 15 Apr 2026 - 3:32

score 178 · Answer 2 · 2026-04-24 14:40:17

178

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Sum of $\sum\limits_{k \geq 1} \frac{k^2}{k!}$

Published on 24 Apr 2026 - 14:40

score 3.8k · Answer 3 · 2026-04-15 22:47:38

3.8k

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Proving that if $n$ is odd, then $n^2=8k+1 \text{ for some } k\in\mathbb{Z}$

Published on 15 Apr 2026 - 22:47

score 141 · Answer 4 · 2026-05-14 20:10:46

141

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Showing a set of parabolas is uncountable

Published on 14 May 2026 - 20:10

score 869 · Answer 5 · 2026-04-14 03:40:36

869

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Probability distribution over bijections

Published on 14 Apr 2026 - 3:40

score 164 · Answer 6 · 2026-04-24 14:42:33

164

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If $(x_n) \to 2$ then $\left(\frac{1}{x_n}\right) \to \frac{1}{2}$

Published on 24 Apr 2026 - 14:42

score 259 · Answer 7 · 2026-04-14 15:32:06

259

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Proving that a subsequence of a function converges to the same limit.

Published on 14 Apr 2026 - 15:32

score 55 · Answer 8 · 2026-04-24 14:30:23

55

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Find the limit (proof). (assignment)

Published on 24 Apr 2026 - 14:30

score 133 · Answer 9 · 2026-05-10 13:28:07

133

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Proving the inequality $\int_X f\ln f d\mu-\int_X f d\mu\ln \int_X f d\mu\ge \int_X f\ln g d\mu-\int_X f d\mu\ln \int_X g d\mu$

Published on 10 May 2026 - 13:28

score 528 · Answer 10 · 2026-04-14 02:15:31

528

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Prob. 6, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: How to find this limit?

Published on 14 Apr 2026 - 2:15

score 287 · Answer 11 · 2026-05-14 13:51:52

287

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Proof Verification - If E is an infinite subset of a compact set K, then E has a limit point in K

Published on 14 May 2026 - 13:51

score 203 · Answer 12 · 2026-04-24 14:30:52

203

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proof: convergence of recursive sequence (Assignment)

Published on 24 Apr 2026 - 14:30

score 700 · Answer 13 · 2026-05-16 20:00:36

700

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Prob. 7, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Is this sequence convergent?

Published on 16 May 2026 - 20:00

score 524 · Answer 14 · 2026-05-16 19:55:13

524

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Prob. 10, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Is this sequence convergent?

Published on 16 May 2026 - 19:55

score 66 · Answer 15 · 2026-04-16 08:01:27

66

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Linear independence of iterates of a unbounded discontinuous function

Published on 16 Apr 2026 - 8:01

List Question

Proving pointwise convergence of the following sequence of functions

Sum of $\sum\limits_{k \geq 1} \frac{k^2}{k!}$

Proving that if $n$ is odd, then $n^2=8k+1 \text{ for some } k\in\mathbb{Z}$

Showing a set of parabolas is uncountable

Probability distribution over bijections

If $(x_n) \to 2$ then $\left(\frac{1}{x_n}\right) \to \frac{1}{2}$

Proving that a subsequence of a function converges to the same limit.

Find the limit (proof). (assignment)

Proving the inequality $\int_X f\ln f d\mu-\int_X f d\mu\ln \int_X f d\mu\ge \int_X f\ln g d\mu-\int_X f d\mu\ln \int_X g d\mu$

Prob. 6, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: How to find this limit?

Proof Verification - If E is an infinite subset of a compact set K, then E has a limit point in K

proof: convergence of recursive sequence (Assignment)

Prob. 7, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Is this sequence convergent?

Prob. 10, Sec. 3.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Is this sequence convergent?

Linear independence of iterates of a unbounded discontinuous function

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