Question

prove that $\lim _{x\to 1}f(x)=3$ if $f(x)=\frac{x^3-1}{x-1}$

score 87 · Answer 1 · 2026-04-17 04:31:42

87

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prove that $\lim _{x\to 1}f(x)=3$ if $f(x)=\frac{x^3-1}{x-1}$

Published on 17 Apr 2026 - 4:31

score 131 · Answer 2 · 2026-04-15 16:48:57

131

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Definition of $\lim_{n\rightarrow+\infty}{\left({\frac{n}{n+1}}\right)^n} = e$

Published on 15 Apr 2026 - 16:48

score 91 · Answer 3 · 2026-04-16 10:49:41

91

Views

Prove that $|a_1+2a_2+\cdots +na_n| \le 1$ ,when $p(x)$ satisfies this condition

Published on 16 Apr 2026 - 10:49

score 55 · Answer 4 · 2026-04-09 05:59:59

55

Views

how to prove limit exits using sequential limit definition

Published on 09 Apr 2026 - 5:59

score 154 · Answer 5 · 2026-04-16 12:19:09

154

Views

Value of $\Bigl\lfloor\,\lim_{x\to0}\frac{\sin x}{x}\Bigr\rfloor$

Published on 16 Apr 2026 - 12:19

score 898 · Answer 6 · 2026-04-17 03:05:52

898

Views

The limit of $\lim_{n \to \infty}\left(1 + \frac{1}{\sqrt{n}}\right)^n$

Published on 17 Apr 2026 - 3:05

score 60 · Answer 7 · 2026-04-12 01:41:57

60

Views

A question about if and if only condition of limit

Published on 12 Apr 2026 - 1:41

score 133 · Answer 8 · 2026-04-15 03:00:12

133

Views

Does $\frac{n}{\sum\limits_{k=1}^{n}\Big(\frac{k}{k+1}\Big)^n}$ converge?

Published on 15 Apr 2026 - 3:00

score 441 · Answer 9 · 2026-05-11 05:28:40

441

Views

Why Is The Derivative At A Point Drawn As A Tangent Line?

Published on 11 May 2026 - 5:28

score 2.1k · Answer 10 · 2026-05-11 03:17:30

2.1k

Views

How The Concept Of A Limit Allows Us To Move From The Secants To Tangents

Published on 11 May 2026 - 3:17

score 247 · Answer 11 · 2026-05-15 23:35:55

247

Views

On A Textbook's Explanation Of Derivatives And Limits

Published on 15 May 2026 - 23:35

score 134 · Answer 12 · 2026-04-12 04:08:11

134

Views

How can I continue this proof?

Published on 12 Apr 2026 - 4:08

score 202 · Answer 13 · 2026-04-11 15:56:59

202

Views

Trouble understanding the $ε$-$N$ proof for limit of sequence

Published on 11 Apr 2026 - 15:56

score 492 · Answer 14 · 2026-04-11 13:31:04

492

Views

Finding the limit of a recursive complex sequence

Published on 11 Apr 2026 - 13:31

score 1.6k · Answer 15 · 2026-04-14 01:03:29

1.6k

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How to find $\lim_{x \to 0}\frac{1-\cos(2x)}{\sin^2{(3x)}}$ without L'Hopital's Rule.

Published on 14 Apr 2026 - 1:03

List Question

prove that $\lim _{x\to 1}f(x)=3$ if $f(x)=\frac{x^3-1}{x-1}$

Definition of $\lim_{n\rightarrow+\infty}{\left({\frac{n}{n+1}}\right)^n} = e$

Prove that $|a_1+2a_2+\cdots +na_n| \le 1$ ,when $p(x)$ satisfies this condition

how to prove limit exits using sequential limit definition

Value of $\Bigl\lfloor\,\lim_{x\to0}\frac{\sin x}{x}\Bigr\rfloor$

The limit of $\lim_{n \to \infty}\left(1 + \frac{1}{\sqrt{n}}\right)^n$

A question about if and if only condition of limit

Does $\frac{n}{\sum\limits_{k=1}^{n}\Big(\frac{k}{k+1}\Big)^n}$ converge?

Why Is The Derivative At A Point Drawn As A Tangent Line?

How The Concept Of A Limit Allows Us To Move From The Secants To Tangents

On A Textbook's Explanation Of Derivatives And Limits

How can I continue this proof?

Trouble understanding the $ε$-$N$ proof for limit of sequence

Finding the limit of a recursive complex sequence

How to find $\lim_{x \to 0}\frac{1-\cos(2x)}{\sin^2{(3x)}}$ without L'Hopital's Rule.

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