Question

Why are the limits equal when $n$ approaches infinity?

score 80 · Answer 1 · 2026-04-11 13:09:32

80

Views

Why are the limits equal when $n$ approaches infinity?

Published on 11 Apr 2026 - 13:09

score 121 · Answer 2 · 2026-04-01 08:54:05

121

Views

Could we apply L'hospital rule to the following function?

Published on 01 Apr 2026 - 8:54

score 71 · Answer 3 · 2022-10-16 10:10:51

71

Views

Asymptotics in exponential function

Published on 16 Oct 2022 - 10:10

score 69 · Answer 4 · 2026-04-10 05:25:42

69

Views

How can i calculate this limite without using Hopital's rule?

Published on 10 Apr 2026 - 5:25

score 124 · Answer 5 · 2022-10-17 02:38:22

124

Views

Find $\lim_{x\to\infty}x^2 \left( e^{1/x}-e^{1/(x+1)} \right)$ without using the L'Hopital's rule or Taylor's series

Published on 17 Oct 2022 - 2:38

score 150 · Answer 6 · 2022-10-17 11:10:10

150

Views

$\lim\limits_{x \to 0}\frac{2x\cos{2x}-\sin{2x}}{2x\cos{2x}-2x}$

Published on 17 Oct 2022 - 11:10

score 62 · Answer 7 · 2022-10-19 21:28:44

62

Views

Solve $\lim_{x\rightarrow 0}{\left(\frac{1+\sqrt{1+x^2}}{x}\right)^x}$ without l’Hôpital

Published on 19 Oct 2022 - 21:28

score 135 · Answer 8 · 2022-10-22 02:42:50

135

Views

How to find the limit of $\sqrt[^n]{n+1}$ as n approaches $\infty$?

Published on 22 Oct 2022 - 2:42

score 100 · Answer 9 · 2022-10-26 01:49:30

100

Views

Finding $\lim_{x\to 0}\frac{1}{(\sin^{-1}(x))^2} - \frac1{x^2}$

Published on 26 Oct 2022 - 1:49

score 177 · Answer 10 · 2022-10-26 07:53:06

177

Views

Find $\lim\limits_{x\to 0} \left( \frac{a^{\sin x}+b^{\sin x} }{2} \right)^{\frac1{x}}$ without using derivatives

Published on 26 Oct 2022 - 7:53

score 46 · Answer 11 · 2022-10-26 10:26:56

46

Views

Limit of the derivative of an expression

Published on 26 Oct 2022 - 10:26

score 47 · Answer 12 · 2026-04-10 10:28:18

47

Views

Derivative of sinx from first principle

Published on 10 Apr 2026 - 10:28

score 76 · Answer 13 · 2022-11-02 05:12:10

76

Views

Prove $\underset{x\to\infty}{\lim}\frac{\sin{(1/x})}{1/x}=1$ without L'Hospital's rule.

Published on 02 Nov 2022 - 5:12

score 76 · Answer 14 · 2022-11-02 12:30:59

76

Views

Better approach to evaluate the limit $\lim_{x\to0^+}(\cot x-\frac{1}{x})(\cot x+\frac{1}{x})$

Published on 02 Nov 2022 - 12:30

score 60 · Answer 15 · 2022-11-03 07:10:03

60

Views

Why cant I use division to solve this limit?

Published on 03 Nov 2022 - 7:10

List Question

Why are the limits equal when $n$ approaches infinity?

Could we apply L'hospital rule to the following function?

Asymptotics in exponential function

How can i calculate this limite without using Hopital's rule?

Find $\lim_{x\to\infty}x^2 \left( e^{1/x}-e^{1/(x+1)} \right)$ without using the L'Hopital's rule or Taylor's series

$\lim\limits_{x \to 0}\frac{2x\cos{2x}-\sin{2x}}{2x\cos{2x}-2x}$

Solve $\lim_{x\rightarrow 0}{\left(\frac{1+\sqrt{1+x^2}}{x}\right)^x}$ without l’Hôpital

How to find the limit of $\sqrt[^n]{n+1}$ as n approaches $\infty$?

Finding $\lim_{x\to 0}\frac{1}{(\sin^{-1}(x))^2} - \frac1{x^2}$

Find $\lim\limits_{x\to 0} \left( \frac{a^{\sin x}+b^{\sin x} }{2} \right)^{\frac1{x}}$ without using derivatives

Limit of the derivative of an expression

Derivative of sinx from first principle

Prove $\underset{x\to\infty}{\lim}\frac{\sin{(1/x})}{1/x}=1$ without L'Hospital's rule.

Better approach to evaluate the limit $\lim_{x\to0^+}(\cot x-\frac{1}{x})(\cot x+\frac{1}{x})$

Why cant I use division to solve this limit?

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