Question

boundary conditions of differential equation

score 37 · Answer 1 · 2026-05-05 13:41:08

37

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boundary conditions of differential equation

Published on 05 May 2026 - 13:41

score 188 · Answer 2 · 2026-05-11 08:24:59

188

Views

Where have I gone wrong in my integral evaluation using summation?

Published on 11 May 2026 - 8:24

score 874 · Answer 3 · 2026-04-15 09:45:33

874

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limit of integral and uniform convergence

Published on 15 Apr 2026 - 9:45

score 163 · Answer 4 · 2026-04-17 05:29:09

163

Views

Evaluating $\lim_{x\to 1} \dfrac{\sin(3x^2 - 5x + 2)}{x^2+x-2}$

Published on 17 Apr 2026 - 5:29

score 68 · Answer 5 · 2026-04-14 12:04:23

68

Views

uniform converges and compact sets

Published on 14 Apr 2026 - 12:04

score 102 · Answer 6 · 2026-04-29 12:25:17

102

Views

Is this an application of the mean value theorem?

Published on 29 Apr 2026 - 12:25

score 482 · Answer 7 · 2026-05-10 14:55:41

482

Views

Derivatives in positive and negative x directions

Published on 10 May 2026 - 14:55

score 1k · Answer 8 · 2026-05-13 18:29:25

1k

Views

Monotonic bounded sequence has a unique limit point

Published on 13 May 2026 - 18:29

score 117 · Answer 9 · 2026-04-16 04:43:44

117

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Finding $ \lim_{x\rightarrow 0}\frac{(1+x)^{\frac{1}{x}}-e+\frac{ex}{2}}{x^2}$ without using series expansion.

Published on 16 Apr 2026 - 4:43

score 82 · Answer 10 · 2026-04-16 07:18:04

82

Views

Example for $\frac1{a_n}\to 0$ and $a_n$ not $\to\infty$

Published on 16 Apr 2026 - 7:18

score 75 · Answer 11 · 2026-04-15 23:41:54

75

Views

Proving that $\lim_{n\to\infty}x_n = x$ implies that $\lim_{n\to\infty}p(x_n) = p(x)$ where $p$ is a polynomial.

Published on 15 Apr 2026 - 23:41

score 45 · Answer 12 · 2026-04-16 15:20:20

45

Views

Given $f(x)$ such that $f'(0)=2;f(0)=1$ use the maclaurin expansion of $f(x)$ to calculate $\lim_{x\to 0}(f(x))^{1/x}$.

Published on 16 Apr 2026 - 15:20

score 51 · Answer 13 · 2026-04-13 06:08:10

51

Views

Systematic way of 'zeroing out' some values of a function?

Published on 13 Apr 2026 - 6:08

score 104 · Answer 14 · 2026-04-15 05:18:37

Find the value of $a$ by evaluating the limit $L=\lim_{n\to\infty}\frac{1^a+2^a+\cdots+n^a}{(n+1)^{a-1}[(na+1)+(na+2)+\cdots+(na+n)]}=\frac{1}{60}$

score 186 · Answer 15 · 2026-04-17 20:37:25

186

Views

A strange thing when evaluating a basic limit

Published on 17 Apr 2026 - 20:37

List Question

boundary conditions of differential equation

Where have I gone wrong in my integral evaluation using summation?

limit of integral and uniform convergence

Evaluating $\lim_{x\to 1} \dfrac{\sin(3x^2 - 5x + 2)}{x^2+x-2}$

uniform converges and compact sets

Is this an application of the mean value theorem?

Derivatives in positive and negative x directions

Monotonic bounded sequence has a unique limit point

Finding $ \lim_{x\rightarrow 0}\frac{(1+x)^{\frac{1}{x}}-e+\frac{ex}{2}}{x^2}$ without using series expansion.

Example for $\frac1{a_n}\to 0$ and $a_n$ not $\to\infty$

Proving that $\lim_{n\to\infty}x_n = x$ implies that $\lim_{n\to\infty}p(x_n) = p(x)$ where $p$ is a polynomial.

Given $f(x)$ such that $f'(0)=2;f(0)=1$ use the maclaurin expansion of $f(x)$ to calculate $\lim_{x\to 0}(f(x))^{1/x}$.

Systematic way of 'zeroing out' some values of a function?

Find the value of $a$ by evaluating the limit $L=\lim_{n\to\infty}\frac{1^a+2^a+\cdots+n^a}{(n+1)^{a-1}[(na+1)+(na+2)+\cdots+(na+n)]}=\frac{1}{60}$

A strange thing when evaluating a basic limit

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