Question

Compute the limit of the sequence ${\textstyle\sum_{k=1}^n}\frac1{\sqrt{n^2+k}}$

score 137 · Answer 1 · 2018-04-09 15:52:23

137

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Compute the limit of the sequence ${\textstyle\sum_{k=1}^n}\frac1{\sqrt{n^2+k}}$

Published on 09 Apr 2018 - 15:52

score 5.2k · Answer 2 · 2018-04-09 18:53:55

5.2k

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Find $\lim_{x\to 0} \frac {\ln( \sin 3x)}{\ln (\sin x)}$

Published on 09 Apr 2018 - 18:53

score 112 · Answer 3 · 2026-03-20 16:24:00

112

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How do I prove $\displaystyle\lim_{x\to -∞} (x\cdot e^x)=0$ using L'Hôpital's Rule?

Published on 20 Mar 2026 - 16:24

score 141 · Answer 4 · 2018-04-10 12:35:43

141

Views

Computing the limit of the sequence $\lim_{n\rightarrow\infty}\overset n{\underset{k=1}{\sum(}}\sqrt{1+\frac k{n^2}}-1)$ and another one

Published on 10 Apr 2018 - 12:35

score 82 · Answer 5 · 2018-04-10 17:46:06

82

Views

Find value of $a$ and $b$

Published on 10 Apr 2018 - 17:46

score 130 · Answer 6 · 2018-04-11 00:52:25

130

Views

Verify that $\lim_{h\to0} (1+hx)^{1/h} = e^x$

Published on 11 Apr 2018 - 0:52

score 84 · Answer 7 · 2018-04-11 20:22:15

84

Views

Is it true that $ n\sqrt{n^2-1} > \frac{n^2}{2}?$

Published on 11 Apr 2018 - 20:22

score 308 · Answer 8 · 2018-04-12 00:58:31

308

Views

Find $\lim_{x\to\infty}\left( \sqrt{(x+a)(x+b)}-x \right)$ where $a,b \in \mathbb{R}$

Published on 12 Apr 2018 - 0:58

score 21 · Answer 9 · 2018-04-12 02:55:31

21

Views

Set of all triples making a piecewise function differentiable

Published on 12 Apr 2018 - 2:55

score 143 · Answer 10 · 2018-04-12 07:24:42

143

Views

How to solve this limit without L'Hospital's rules

Published on 12 Apr 2018 - 7:24

score 2.9k · Answer 11 · 2018-04-12 11:14:08

2.9k

Views

Evaluate $\lim_{x\rightarrow\mathrm\pi}\frac{\sin(mx)}{\sin(nx)}$

Published on 12 Apr 2018 - 11:14

score 219 · Answer 12 · 2018-04-12 18:29:18

219

Views

Concept of tending to zero in case of limits

Published on 12 Apr 2018 - 18:29

score 260 · Answer 13 · 2018-04-13 21:49:16

260

Views

Prove derivative of $a^x$ with limit definition

Published on 13 Apr 2018 - 21:49

score 1.7k · Answer 14 · 2018-04-18 08:13:48

1.7k

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$\lim_{x\rightarrow \frac{\pi }{3}}\frac {\sin x-\sqrt {3}\cos x}{\sin 3x}$ has two different values?

Published on 18 Apr 2018 - 8:13

score 48 · Answer 15 · 2018-04-18 11:05:55

48

Views

Limit of $e$ to the power of a difference of functions

Published on 18 Apr 2018 - 11:05

List Question

Compute the limit of the sequence ${\textstyle\sum_{k=1}^n}\frac1{\sqrt{n^2+k}}$

Find $\lim_{x\to 0} \frac {\ln( \sin 3x)}{\ln (\sin x)}$

How do I prove $\displaystyle\lim_{x\to -∞} (x\cdot e^x)=0$ using L'Hôpital's Rule?

Computing the limit of the sequence $\lim_{n\rightarrow\infty}\overset n{\underset{k=1}{\sum(}}\sqrt{1+\frac k{n^2}}-1)$ and another one

Find value of $a$ and $b$

Verify that $\lim_{h\to0} (1+hx)^{1/h} = e^x$

Is it true that $ n\sqrt{n^2-1} > \frac{n^2}{2}?$

Find $\lim_{x\to\infty}\left( \sqrt{(x+a)(x+b)}-x \right)$ where $a,b \in \mathbb{R}$

Set of all triples making a piecewise function differentiable

How to solve this limit without L'Hospital's rules

Evaluate $\lim_{x\rightarrow\mathrm\pi}\frac{\sin(mx)}{\sin(nx)}$

Concept of tending to zero in case of limits

Prove derivative of $a^x$ with limit definition

$\lim_{x\rightarrow \frac{\pi }{3}}\frac {\sin x-\sqrt {3}\cos x}{\sin 3x}$ has two different values?

Limit of $e$ to the power of a difference of functions

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