Question

Is it "safe" to evaluate $\lim_{x \to \infty} \frac{1}{\frac{1}{x} +x}$ as follows?

score 183 · Answer 1 · 2021-10-01 04:35:59

183

Views

Is it "safe" to evaluate $\lim_{x \to \infty} \frac{1}{\frac{1}{x} +x}$ as follows?

Published on 01 Oct 2021 - 4:35

score 623 · Answer 2 · 2021-10-01 14:46:04

623

Views

How to solve $\lim _{x\to \infty}\dfrac{x^5}{2^x} $ without L'Hospital's Rule

Published on 01 Oct 2021 - 14:46

score 39 · Answer 3 · 2021-10-03 10:52:07

39

Views

Example of computing $\lim_{x\to a}f(x)$ by computing $f(x)$ on a sequence $\{y_n\}\to a$

Published on 03 Oct 2021 - 10:52

score 56 · Answer 4 · 2021-10-03 11:16:07

56

Views

Limit with ln without L'Hôpital's rule

Published on 03 Oct 2021 - 11:16

score 72 · Answer 5 · 2021-10-03 12:59:23

72

Views

Calculus AB: limit as x approach negative infinity

Published on 03 Oct 2021 - 12:59

score 94 · Answer 6 · 2026-04-02 13:24:33

94

Views

How to solve this limit (without using L'Hospital)?

Published on 02 Apr 2026 - 13:24

score 80 · Answer 7 · 2026-04-03 17:06:41

80

Views

Why is $\frac{1}{m+1} = \sum_{n=0}^\infty \frac{2^{-2n-m-1} (2n+m)!}{(n+m+1)!n!}$?

Published on 03 Apr 2026 - 17:06

score 91 · Answer 8 · 2021-10-07 15:58:11

91

Views

How to calculate $\lim\limits_{x \rightarrow 0} \frac{1}{1-\cos x}$

Published on 07 Oct 2021 - 15:58

score 55 · Answer 9 · 2021-10-10 00:12:28

55

Views

What is the limit behavior of this functions of two variables?

Published on 10 Oct 2021 - 0:12

score 506 · Answer 10 · 2021-10-11 15:36:26

506

Views

Solve $\lim_{x\to \pi/4} \frac{\sin x - \cos x}{x-\pi/4}$

Published on 11 Oct 2021 - 15:36

score 116 · Answer 11 · 2021-10-12 19:59:05

116

Views

Evaluating $\lim _{x\to \infty }\tan\left(x^2\sin\frac{\pi }{4x^2}\right)$ without L'hopital's rule

Published on 12 Oct 2021 - 19:59

score 45 · Answer 12 · 2021-10-14 03:19:46

45

Views

How can I find this limit without L'Hopital and is my current solution correct?

Published on 14 Oct 2021 - 3:19

score 79 · Answer 13 · 2021-10-14 04:14:54

79

Views

Proof of that $(1+\frac{1}{n})^n$ converges for real $n \to \infty$

Published on 14 Oct 2021 - 4:14

score 94 · Answer 14 · 2021-10-15 03:34:26

94

Views

Which function of $n$ has higher growth rate between $f(n)=(\log n)^{100}$ and $g(n)= n^{0.000001}$ as $n$ approaches infinity?

Published on 15 Oct 2021 - 3:34

score 74 · Answer 15 · 2021-10-15 15:55:48

74

Views

Solving $\lim_{x\to 0}(\frac1x)(\frac1{\sqrt{1+x^{-2}}})$

Published on 15 Oct 2021 - 15:55

List Question

Is it "safe" to evaluate $\lim_{x \to \infty} \frac{1}{\frac{1}{x} +x}$ as follows?

How to solve $\lim _{x\to \infty}\dfrac{x^5}{2^x} $ without L'Hospital's Rule

Example of computing $\lim_{x\to a}f(x)$ by computing $f(x)$ on a sequence $\{y_n\}\to a$

Limit with ln without L'Hôpital's rule

Calculus AB: limit as x approach negative infinity

How to solve this limit (without using L'Hospital)?

Why is $\frac{1}{m+1} = \sum_{n=0}^\infty \frac{2^{-2n-m-1} (2n+m)!}{(n+m+1)!n!}$?

How to calculate $\lim\limits_{x \rightarrow 0} \frac{1}{1-\cos x}$

What is the limit behavior of this functions of two variables?

Solve $\lim_{x\to \pi/4} \frac{\sin x - \cos x}{x-\pi/4}$

Evaluating $\lim _{x\to \infty }\tan\left(x^2\sin\frac{\pi }{4x^2}\right)$ without L'hopital's rule

How can I find this limit without L'Hopital and is my current solution correct?

Proof of that $(1+\frac{1}{n})^n$ converges for real $n \to \infty$

Which function of $n$ has higher growth rate between $f(n)=(\log n)^{100}$ and $g(n)= n^{0.000001}$ as $n$ approaches infinity?

Solving $\lim_{x\to 0}(\frac1x)(\frac1{\sqrt{1+x^{-2}}})$

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