Question

Find limit of $\sqrt{n^3 + 2n} - \sqrt{n^3 + 1}$ as $n$ goes to $+\infty$

score 103 · Answer 1 · 2026-04-15 11:20:41

103

Views

Find limit of $\sqrt{n^3 + 2n} - \sqrt{n^3 + 1}$ as $n$ goes to $+\infty$

Published on 15 Apr 2026 - 11:20

score 101 · Answer 2 · 2026-05-16 14:51:16

101

Views

Show that the set of rational numbers is $\textbf{dense}$ in $\mathbb{R}$

Published on 16 May 2026 - 14:51

score 41 · Answer 3 · 2026-04-14 02:37:02

41

Views

Checking that limit is $1$ for a function, using Cauchy condition

Published on 14 Apr 2026 - 2:37

score 57 · Answer 4 · 2026-04-12 11:41:24

57

Views

Proof of $\lim_{h\to 0}\frac{t^h-1}{h}=\ln t$ please

Published on 12 Apr 2026 - 11:41

score 62 · Answer 5 · 2026-04-15 19:55:56

62

Views

Then $\lim_{z\rightarrow 0} f(z)$ choose the correct option?

Published on 15 Apr 2026 - 19:55

score 31 · Answer 6 · 2026-04-14 18:39:52

31

Views

A question on proving left and right differentiability

Published on 14 Apr 2026 - 18:39

score 83 · Answer 7 · 2026-04-17 08:09:40

83

Views

proving that $\lim \frac{x^2 - 1}{x - 1} =2$ as $x \rightarrow 1.$ by definition

Published on 17 Apr 2026 - 8:09

score 2.1k · Answer 8 · 2026-04-12 15:09:26

2.1k

Views

Proof convergence of vectors

Published on 12 Apr 2026 - 15:09

score 95 · Answer 9 · 2026-04-16 09:58:37

95

Views

Find $ \lim {x\to 0, y\to 0} \frac {x^2 + sin y} {y^2 + sinx} $ for x, y belonging to the curve y=x^2

Published on 16 Apr 2026 - 9:58

score 59 · Answer 10 · 2026-04-14 16:27:59

59

Views

l'Hopital's rule and function with two or more arguments

Published on 14 Apr 2026 - 16:27

score 91 · Answer 11 · 2026-04-12 16:14:40

91

Views

limiting ratio of two triangle areas

Published on 12 Apr 2026 - 16:14

score 99 · Answer 12 · 2026-04-14 23:53:43

99

Views

How to find $\lim_{x\to\infty}\frac{e^x+\cos x}{e^x-\sin x}$?

Published on 14 Apr 2026 - 23:53

score 67 · Answer 13 · 2026-04-16 20:53:36

67

Views

Evaluate $\lim_{x \to 0} x^2\left(1+2+3+...+\left[ \frac{1}{|x|} \right] \right)$

Published on 16 Apr 2026 - 20:53

score 985 · Answer 14 · 2026-04-08 23:17:46

985

Views

How to determine which function approaches a limit faster?

Published on 08 Apr 2026 - 23:17

score 62 · Answer 15 · 2026-04-14 11:00:56

62

Views

proving limits of sequences using cauchy criterion

Published on 14 Apr 2026 - 11:00

List Question

Find limit of $\sqrt{n^3 + 2n} - \sqrt{n^3 + 1}$ as $n$ goes to $+\infty$

Show that the set of rational numbers is $\textbf{dense}$ in $\mathbb{R}$

Checking that limit is $1$ for a function, using Cauchy condition

Proof of $\lim_{h\to 0}\frac{t^h-1}{h}=\ln t$ please

Then $\lim_{z\rightarrow 0} f(z)$ choose the correct option?

A question on proving left and right differentiability

proving that $\lim \frac{x^2 - 1}{x - 1} =2$ as $x \rightarrow 1.$ by definition

Proof convergence of vectors

Find $ \lim {x\to 0, y\to 0} \frac {x^2 + sin y} {y^2 + sinx} $ for x, y belonging to the curve y=x^2

l'Hopital's rule and function with two or more arguments

limiting ratio of two triangle areas

How to find $\lim_{x\to\infty}\frac{e^x+\cos x}{e^x-\sin x}$?

Evaluate $\lim_{x \to 0} x^2\left(1+2+3+...+\left[ \frac{1}{|x|} \right] \right)$

How to determine which function approaches a limit faster?

proving limits of sequences using cauchy criterion

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