Question

Using $\int_{0}^{1} x^n dx =\frac{1}{n+1}$ find the sums of the series

score 111 · Answer 1 · 2026-04-16 00:43:20

111

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Using $\int_{0}^{1} x^n dx =\frac{1}{n+1}$ find the sums of the series

Published on 16 Apr 2026 - 0:43

score 70 · Answer 2 · 2026-04-16 12:46:02

70

Views

show that the series $ \sum^{\infty}_{n=1} \frac{z^n}{n^{3/2}}$ converges uniformly for $|z|< 1$

Published on 16 Apr 2026 - 12:46

score 279 · Answer 3 · 2026-04-12 16:50:53

279

Views

Integral of a sequence of function not uniformly convergent

Published on 12 Apr 2026 - 16:50

score 52 · Answer 4 · 2026-04-14 09:07:23

52

Views

some uniform convergence problem

Published on 14 Apr 2026 - 9:07

score 20 · Answer 5 · 2026-04-16 15:15:16

20

Views

Is uniform convergence of a function sequence equivalent to uniform equicontinuity of the set of members of the sequence?

Published on 16 Apr 2026 - 15:15

score 56 · Answer 6 · 2026-04-11 19:21:28

56

Views

Is $f_n$ uniformly convergent on $(-\infty,\infty)$

Published on 11 Apr 2026 - 19:21

score 145 · Answer 7 · 2026-04-11 10:51:58

145

Views

Rate of approximation by polynomials to a C1 function(Weierstras Approximation thm)

Published on 11 Apr 2026 - 10:51

score 77 · Answer 8 · 2026-04-11 03:24:02

77

Views

Checking where a series of functions is uniformly convergent, an application of Weierstrass M-Test?

Published on 11 Apr 2026 - 3:24

score 70 · Answer 9 · 2026-04-11 23:08:30

70

Views

An application of Weierstrass M-Test to determine sets of uniform convergence.

Published on 11 Apr 2026 - 23:08

score 68 · Answer 10 · 2026-04-16 05:10:38

68

Views

Determining if a sequence of functions is not uniformly continuous.

Published on 16 Apr 2026 - 5:10

score 31 · Answer 11 · 2026-04-17 00:28:03

31

Views

Deduce absolute convergence of a sum in the integrand from finiteness of the integral

Published on 17 Apr 2026 - 0:28

score 34 · Answer 12 · 2026-04-13 07:02:17

34

Views

Determining if function sequence is not uniformly convegent.

Published on 13 Apr 2026 - 7:02

score 984 · Answer 13 · 2026-04-14 17:23:54

984

Views

Prove $ \lim_{h\rightarrow 0}\frac{1}{h}\int_a^x[f(t+h)-f(t)]\mathrm{d}t=f(x)-f(a). $

Published on 14 Apr 2026 - 17:23

score 117 · Answer 14 · 2026-04-16 05:19:41

117

Views

Check whether the following series is uniformly convergent OR not?

Published on 16 Apr 2026 - 5:19

score 90 · Answer 15 · 2026-04-14 07:07:45

90

Views

Lebesgue Integration, Uniform Convergence

Published on 14 Apr 2026 - 7:07

List Question

Using $\int_{0}^{1} x^n dx =\frac{1}{n+1}$ find the sums of the series

show that the series $ \sum^{\infty}_{n=1} \frac{z^n}{n^{3/2}}$ converges uniformly for $|z|< 1$

Integral of a sequence of function not uniformly convergent

some uniform convergence problem

Is uniform convergence of a function sequence equivalent to uniform equicontinuity of the set of members of the sequence?

Is $f_n$ uniformly convergent on $(-\infty,\infty)$

Rate of approximation by polynomials to a C1 function(Weierstras Approximation thm)

Checking where a series of functions is uniformly convergent, an application of Weierstrass M-Test?

An application of Weierstrass M-Test to determine sets of uniform convergence.

Determining if a sequence of functions is not uniformly continuous.

Deduce absolute convergence of a sum in the integrand from finiteness of the integral

Determining if function sequence is not uniformly convegent.

Prove $ \lim_{h\rightarrow 0}\frac{1}{h}\int_a^x[f(t+h)-f(t)]\mathrm{d}t=f(x)-f(a). $

Check whether the following series is uniformly convergent OR not?

Lebesgue Integration, Uniform Convergence

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