Question

Evaluating $\lim\limits_{x→∞}\left(\frac{P(x)}{5(x-1)}\right)^x$

score 179 · Answer 1 · 2018-06-16 13:14:42

179

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Evaluating $\lim\limits_{x→∞}\left(\frac{P(x)}{5(x-1)}\right)^x$

Published on 16 Jun 2018 - 13:14

score 142 · Answer 2 · 2018-06-17 05:13:37

142

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Flaw in evaluating $\lim_{x\to \infty}\left(\frac{P(x)}{5(x-1)}\right)^x$

Published on 17 Jun 2018 - 5:13

score 62 · Answer 3 · 2018-06-17 09:49:47

62

Views

How to use l'hopital rule?

Published on 17 Jun 2018 - 9:49

score 72 · Answer 4 · 2018-06-19 05:48:37

72

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Evaluation of limits and finding the value of $\lambda$

Published on 19 Jun 2018 - 5:48

score 120 · Answer 5 · 2018-06-19 12:00:39

120

Views

Evaluation of limit at negative infinity is wrong

Published on 19 Jun 2018 - 12:00

score 120 · Answer 6 · 2018-06-20 03:54:50

Find $\lim\limits_{n→∞}\frac{3^n(\overbrace{\sin(\sin(\cdots\sin(x)))}^{n\text{ times}}+(\sqrt2\cos x+2)^n+2^n\cos x}{3^n+\sin x(\sqrt2\cos x+2)^n}$

score 406 · Answer 7 · 2018-06-20 14:52:52

406

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$\lim_{(x,y)\to(1,2)} \left(\frac{\tan^{-1}x+\tan^{-1}\frac1y-\tan^{-1}3}{(x-1)(y-2)}\right)\sin^{-1}(y-2)$ using Polar Coordinates

Published on 20 Jun 2018 - 14:52

score 1.4k · Answer 8 · 2026-03-25 06:06:57

1.4k

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Evaluate: $\lim_{x \to \pi/4}\frac{8-\sqrt{2}(\sin x+\cos x)^5}{1-\sin 2x}$ without L'Hopitals

Published on 25 Mar 2026 - 6:06

score 160 · Answer 9 · 2018-07-03 22:16:24

160

Views

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

Published on 03 Jul 2018 - 22:16

score 169 · Answer 10 · 2018-07-04 03:09:07

169

Views

Limit of exponential function without L'hopital rule

Published on 04 Jul 2018 - 3:09

score 181 · Answer 11 · 2018-07-04 16:34:59

181

Views

A strange thing when evaluating a basic limit

Published on 04 Jul 2018 - 16:34

score 298 · Answer 12 · 2018-07-07 05:32:51

298

Views

Please help me with this trigonometric limit without using L'Hopital's rule

Published on 07 Jul 2018 - 5:32

score 92 · Answer 13 · 2026-03-25 14:20:57

92

Views

Continuity of a function containing infinite sum of floor function

Published on 25 Mar 2026 - 14:20

score 230 · Answer 14 · 2026-03-25 14:26:54

230

Views

Is $ \lim_{x\to \infty}\frac{x^2}{x+1} $ equal to $\infty$ or to $1$?

Published on 25 Mar 2026 - 14:26

score 323 · Answer 15 · 2018-07-07 22:45:21

323

Views

How to evaluate $\lim _{x\to 0}\frac{5-5\cos\left(2x\right)+\sin\left(4x\right)}{x}$ without using L'Hospital's rule?

Published on 07 Jul 2018 - 22:45

List Question

Evaluating $\lim\limits_{x→∞}\left(\frac{P(x)}{5(x-1)}\right)^x$

Flaw in evaluating $\lim_{x\to \infty}\left(\frac{P(x)}{5(x-1)}\right)^x$

How to use l'hopital rule?

Evaluation of limits and finding the value of $\lambda$

Evaluation of limit at negative infinity is wrong

Find $\lim\limits_{n→∞}\frac{3^n(\overbrace{\sin(\sin(\cdots\sin(x)))}^{n\text{ times}}+(\sqrt2\cos x+2)^n+2^n\cos x}{3^n+\sin x(\sqrt2\cos x+2)^n}$

$\lim_{(x,y)\to(1,2)} \left(\frac{\tan^{-1}x+\tan^{-1}\frac1y-\tan^{-1}3}{(x-1)(y-2)}\right)\sin^{-1}(y-2)$ using Polar Coordinates

Evaluate: $\lim_{x \to \pi/4}\frac{8-\sqrt{2}(\sin x+\cos x)^5}{1-\sin 2x}$ without L'Hopitals

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

Limit of exponential function without L'hopital rule

A strange thing when evaluating a basic limit

Please help me with this trigonometric limit without using L'Hopital's rule

Continuity of a function containing infinite sum of floor function

Is $ \lim_{x\to \infty}\frac{x^2}{x+1} $ equal to $\infty$ or to $1$?

How to evaluate $\lim _{x\to 0}\frac{5-5\cos\left(2x\right)+\sin\left(4x\right)}{x}$ without using L'Hospital's rule?

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