Question

calculating limit exponential function

score 110 · Answer 1 · 2021-06-07 12:34:13

110

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calculating limit exponential function

Published on 07 Jun 2021 - 12:34

score 116 · Answer 2 · 2021-06-07 12:50:23

116

Views

Evaluating $\lim_{x\rightarrow \infty}\frac{x+\sin{x}}{x+2\sin{x}}$ in two ways gives different answers

Published on 07 Jun 2021 - 12:50

score 92 · Answer 3 · 2021-06-10 07:15:57

92

Views

Verification of solution for $\lim_{x\to 1} \frac{x\cdot \sin\{x\}}{x-1}$

Published on 10 Jun 2021 - 7:15

score 198 · Answer 4 · 2021-06-10 08:02:55

198

Views

Verification of solution for $\lim_{x\to 0^+} \frac{\ln(\sin(x/2))}{\ln(\sin x)}$

Published on 10 Jun 2021 - 8:02

score 55 · Answer 5 · 2021-06-11 07:27:54

55

Views

$\lim_{x\to\pi/2} \cos x\cdot\cos(\tan x)$

Published on 11 Jun 2021 - 7:27

score 92 · Answer 6 · 2021-06-11 15:22:07

92

Views

Solve limit without L'Hopital: $\lim_{x \to 0} \frac{2 \sin x-\sin 2x}{x-\sin x}$

Published on 11 Jun 2021 - 15:22

score 221 · Answer 7 · 2021-06-11 18:47:06

221

Views

Allowed and not allowed operation with limits

Published on 11 Jun 2021 - 18:47

score 122 · Answer 8 · 2021-06-14 13:56:56

122

Views

Without using L'Hospital's rule and series expansion solve $e\lim\limits_{n \to \infty}\frac{e^{n\ln(1+1/n)-1}-1}{n\ln(1+1/n)-1}n(n\ln(1+1/n)-1)$

Published on 14 Jun 2021 - 13:56

score 100 · Answer 9 · 2021-06-17 18:17:49

100

Views

How to solve this limits question using the properties of modulus and exponents?

Published on 17 Jun 2021 - 18:17

score 116 · Answer 10 · 2026-04-08 03:29:40

116

Views

Is it Possible to Evaluate This Limit Without L'Hopital Rule?

Published on 08 Apr 2026 - 3:29

score 1.1k · Answer 11 · 2021-06-28 07:14:44

1.1k

Views

How do we know that the limit of $(1+1/n)^n$ exists as $n$ increases without bound?

Published on 28 Jun 2021 - 7:14

score 192 · Answer 12 · 2026-04-08 12:47:39

192

Views

Finding the derivative of a function by limit definition

Published on 08 Apr 2026 - 12:47

score 245 · Answer 13 · 2021-06-30 19:11:28

245

Views

Evaluate $\lim_{x \to 0}\frac{\sin(mx)}{\sin(nx)}$ without L'Hospital theorem

Published on 30 Jun 2021 - 19:11

score 1.4k · Answer 14 · 2021-07-05 00:53:34

1.4k

Views

Determine values of a and b such that f(x) is continuous at x = 1.

Published on 05 Jul 2021 - 0:53

score 111 · Answer 15 · 2021-07-05 04:42:00

111

Views

Why can we simplify $\lim_{x\rightarrow 0} \frac{x^2}{x}$ to $\lim_{x\rightarrow 0}x$, if dividing by $x$ also means dividing by $0$?

Published on 05 Jul 2021 - 4:42

List Question

calculating limit exponential function

Evaluating $\lim_{x\rightarrow \infty}\frac{x+\sin{x}}{x+2\sin{x}}$ in two ways gives different answers

Verification of solution for $\lim_{x\to 1} \frac{x\cdot \sin\{x\}}{x-1}$

Verification of solution for $\lim_{x\to 0^+} \frac{\ln(\sin(x/2))}{\ln(\sin x)}$

$\lim_{x\to\pi/2} \cos x\cdot\cos(\tan x)$

Solve limit without L'Hopital: $\lim_{x \to 0} \frac{2 \sin x-\sin 2x}{x-\sin x}$

Allowed and not allowed operation with limits

Without using L'Hospital's rule and series expansion solve $e\lim\limits_{n \to \infty}\frac{e^{n\ln(1+1/n)-1}-1}{n\ln(1+1/n)-1}n(n\ln(1+1/n)-1)$

How to solve this limits question using the properties of modulus and exponents?

Is it Possible to Evaluate This Limit Without L'Hopital Rule?

How do we know that the limit of $(1+1/n)^n$ exists as $n$ increases without bound?

Finding the derivative of a function by limit definition

Evaluate $\lim_{x \to 0}\frac{\sin(mx)}{\sin(nx)}$ without L'Hospital theorem

Determine values of a and b such that f(x) is continuous at x = 1.

Why can we simplify $\lim_{x\rightarrow 0} \frac{x^2}{x}$ to $\lim_{x\rightarrow 0}x$, if dividing by $x$ also means dividing by $0$?

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