Question

Prob. 6, Sec. 5.6, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: A necessary and sufficient condition for continuity of a monotonic function

score 332 · Answer 1 · 2026-05-11 03:28:05

332

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Prob. 6, Sec. 5.6, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: A necessary and sufficient condition for continuity of a monotonic function

Published on 11 May 2026 - 3:28

score 206 · Answer 2 · 2026-05-11 04:40:49

206

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Finding the value of $\prod_{n=0}^\infty a_n$ with $a_0=1/2$ and $a_{n}=1+(a_{n-1}-1)^2$

Published on 11 May 2026 - 4:40

score 121 · Answer 3 · 2026-04-16 13:37:23

121

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Why the value of this kind of sequence always get bigger and then smaller

Published on 16 Apr 2026 - 13:37

score 1k · Answer 4 · 2026-05-11 08:46:49

1k

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Prove by induction that $\sum_{n=1}^\infty \frac{1}{2^n} = 1$

Published on 11 May 2026 - 8:46

score 115 · Answer 5 · 2026-04-16 14:50:02

115

Views

Convergence of $f(x)+ f^{2} (x) + f^{3}(x)+ … $

Published on 16 Apr 2026 - 14:50

score 360 · Answer 6 · 2026-04-09 18:40:21

360

Views

Finding a function with given Fourier series

Published on 09 Apr 2026 - 18:40

score 416 · Answer 7 · 2026-04-16 09:06:16

416

Views

Find the radius of convergence of the alternating power series

Published on 16 Apr 2026 - 9:06

score 57 · Answer 8 · 2026-04-11 00:21:57

57

Views

Analyitical solution to summation

Published on 11 Apr 2026 - 0:21

score 236 · Answer 9 · 2026-04-14 02:18:30

236

Views

If x is a number between 0 and 1, what number results from dropping all odd powers from the binary representation of x?

Published on 14 Apr 2026 - 2:18

score 26 · Answer 10 · 2026-04-16 13:56:44

26

Views

Partition of the index set of the non-negative series

Published on 16 Apr 2026 - 13:56

score 130 · Answer 11 · 2026-04-12 19:24:14

130

Views

Calculate the limit of a series number

Published on 12 Apr 2026 - 19:24

score 62 · Answer 12 · 2026-04-16 13:02:40

62

Views

Sum of $n$ terms of the series $\frac 1{(1 + x)(1 +2x)} + \frac 1{(1 +2x)(1 +3x)} + \ldots$ is equal to?

Published on 16 Apr 2026 - 13:02

score 42 · Answer 13 · 2026-04-16 22:31:55

42

Views

$c_n = ∑a_k a_{n-k}$ is convergent ot not

Published on 16 Apr 2026 - 22:31

score 90 · Answer 14 · 2026-04-15 23:41:23

90

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For what values of $x$ in $(-3,17)$ does the series $\sum\limits^{\infty}_{n=1}\frac{(-1)^n x^n}{n[\log (n+1)]^2}$ converge?

Published on 15 Apr 2026 - 23:41

score 1.6k · Answer 15 · 2026-05-10 21:57:39

1.6k

Views

Show that the series converges and find its sum

Published on 10 May 2026 - 21:57

List Question

Prob. 6, Sec. 5.6, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: A necessary and sufficient condition for continuity of a monotonic function

Finding the value of $\prod_{n=0}^\infty a_n$ with $a_0=1/2$ and $a_{n}=1+(a_{n-1}-1)^2$

Why the value of this kind of sequence always get bigger and then smaller

Prove by induction that $\sum_{n=1}^\infty \frac{1}{2^n} = 1$

Convergence of $f(x)+ f^{2} (x) + f^{3}(x)+ … $

Finding a function with given Fourier series

Find the radius of convergence of the alternating power series

Analyitical solution to summation

If x is a number between 0 and 1, what number results from dropping all odd powers from the binary representation of x?

Partition of the index set of the non-negative series

Calculate the limit of a series number

Sum of $n$ terms of the series $\frac 1{(1 + x)(1 +2x)} + \frac 1{(1 +2x)(1 +3x)} + \ldots$ is equal to?

$c_n = ∑a_k a_{n-k}$ is convergent ot not

For what values of $x$ in $(-3,17)$ does the series $\sum\limits^{\infty}_{n=1}\frac{(-1)^n x^n}{n[\log (n+1)]^2}$ converge?

Show that the series converges and find its sum

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