Question

Find $\lim_{x \to 2^+} \frac{\lfloor x^2 \rfloor - \lfloor x \rfloor^2}{x^2 - 4}$

score 55 · Answer 1 · 2014-12-05 10:44:49

55

Views

Find $\lim_{x \to 2^+} \frac{\lfloor x^2 \rfloor - \lfloor x \rfloor^2}{x^2 - 4}$

Published on 05 Dec 2014 - 10:44

score 302 · Answer 2 · 2014-12-05 12:14:36

302

Views

Find $\lim_{x \to 0^-}\frac{\sqrt{1 - \cos4x}}{\sin3x - \sin x}$

Published on 05 Dec 2014 - 12:14

score 425 · Answer 3 · 2014-12-05 18:31:43

425

Views

Find $\lim_{x \to -8} \frac{\sqrt{1 - x} - 3 }{ 2 + \sqrt[3] {x}}$

Published on 05 Dec 2014 - 18:31

score 92 · Answer 4 · 2014-12-07 20:43:35

92

Views

Find $\lim \limits_{x \to 1^{+} }\left(\frac{82\sin(\pi x)}{1-x}\right)$ without L'hopital

Published on 07 Dec 2014 - 20:43

score 168 · Answer 5 · 2014-12-07 21:02:43

168

Views

Find $\lim_{n \to \infty} \frac{(\sqrt[n]{(7^n+n)}-\frac{1}{7})^n}{7^n-n^7}$

Published on 07 Dec 2014 - 21:02

score 121 · Answer 6 · 2014-12-07 21:28:35

121

Views

Limit of a square root with $x^2+x$

Published on 07 Dec 2014 - 21:28

score 273 · Answer 7 · 2014-12-09 08:30:44

273

Views

What is the limit of $n\sin \left(\frac{1}{n}\right)$ as $n \to \infty$

Published on 09 Dec 2014 - 8:30

score 378 · Answer 8 · 2014-12-10 17:39:43

378

Views

Evaluate $\lim_{x→0}\left(\frac{1+\tan x}{1+\sin x}\right)^{1/x^2} $

Published on 10 Dec 2014 - 17:39

score 118 · Answer 9 · 2014-12-10 19:32:01

118

Views

Can I prove that $\frac{e^x - e^{\sin x}}{x - \sin x} \to 1$ as $x \to 0$ without using DLH?

Published on 10 Dec 2014 - 19:32

score 670 · Answer 10 · 2014-12-11 13:52:50

670

Views

How to compute $\lim_{n\to \infty} n\sin(2\pi n! e)$

Published on 11 Dec 2014 - 13:52

score 593 · Answer 11 · 2014-12-13 16:44:40

593

Views

I can't solve this limit without using L'Hospital: $\lim_{x \rightarrow -\infty} e^x \log|x|$

Published on 13 Dec 2014 - 16:44

score 449 · Answer 12 · 2014-12-13 21:43:13

449

Views

Can all limits be solved without L'Hopital?

Published on 13 Dec 2014 - 21:43

score 122 · Answer 13 · 2014-12-15 09:53:34

122

Views

Evaluate $\lim_{x\rightarrow 0^{+}}(3^{x}-2^{x})^{{1}/{x}} $

Published on 15 Dec 2014 - 9:53

score 9.4k · Answer 14 · 2014-12-16 12:40:32

9.4k

Views

Calculate $\lim_{x \to 0} (e^x-1)/x$ without using L'Hôpital's rule

Published on 16 Dec 2014 - 12:40

score 371 · Answer 15 · 2014-12-20 13:38:04

371

Views

Finding $\lim_{x\to 0}\frac{\sin(x+x^3/6)-x}{x^5}$

Published on 20 Dec 2014 - 13:38

List Question

Find $\lim_{x \to 2^+} \frac{\lfloor x^2 \rfloor - \lfloor x \rfloor^2}{x^2 - 4}$

Find $\lim_{x \to 0^-}\frac{\sqrt{1 - \cos4x}}{\sin3x - \sin x}$

Find $\lim_{x \to -8} \frac{\sqrt{1 - x} - 3 }{ 2 + \sqrt[3] {x}}$

Find $\lim \limits_{x \to 1^{+} }\left(\frac{82\sin(\pi x)}{1-x}\right)$ without L'hopital

Find $\lim_{n \to \infty} \frac{(\sqrt[n]{(7^n+n)}-\frac{1}{7})^n}{7^n-n^7}$

Limit of a square root with $x^2+x$

What is the limit of $n\sin \left(\frac{1}{n}\right)$ as $n \to \infty$

Evaluate $\lim_{x→0}\left(\frac{1+\tan x}{1+\sin x}\right)^{1/x^2} $

Can I prove that $\frac{e^x - e^{\sin x}}{x - \sin x} \to 1$ as $x \to 0$ without using DLH?

How to compute $\lim_{n\to \infty} n\sin(2\pi n! e)$

I can't solve this limit without using L'Hospital: $\lim_{x \rightarrow -\infty} e^x \log|x|$

Can all limits be solved without L'Hopital?

Evaluate $\lim_{x\rightarrow 0^{+}}(3^{x}-2^{x})^{{1}/{x}} $

Calculate $\lim_{x \to 0} (e^x-1)/x$ without using L'Hôpital's rule

Finding $\lim_{x\to 0}\frac{\sin(x+x^3/6)-x}{x^5}$

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