Question

Calculate: $\lim _{x\to \infty }\left(\frac{\sqrt{x^3+4}+\sin \left(x\right)}{\sqrt{x^3+2x^2+7x+11}}\right)$.

score 217 · Answer 1 · 2020-07-20 10:28:28

217

Views

Calculate: $\lim _{x\to \infty }\left(\frac{\sqrt{x^3+4}+\sin \left(x\right)}{\sqrt{x^3+2x^2+7x+11}}\right)$.

Published on 20 Jul 2020 - 10:28

score 546 · Answer 2 · 2020-07-23 12:44:39

546

Views

Evaluate the limit $\lim_{x\to 0} \frac{\ln |1+x^3|}{\sin^3 x}$

Published on 23 Jul 2020 - 12:44

score 540 · Answer 3 · 2020-07-23 22:52:29

540

Views

How to evaluate the following limit: $\lim_{x\to 0}\frac{12^x-4^x}{9^x-3^x}$?

Published on 23 Jul 2020 - 22:52

score 1k · Answer 4 · 2026-03-30 10:36:51

1k

Views

$\min$ in epsilon-delta

Published on 30 Mar 2026 - 10:36

score 50 · Answer 5 · 2020-07-25 14:32:33

50

Views

Evaluate $\lim_{x\to -\infty} \frac{x^4\sin( \frac 1x )+ x^2}{1+|x|^3}$

Published on 25 Jul 2020 - 14:32

score 61 · Answer 6 · 2020-07-25 16:31:39

61

Views

Evaluate $\lim_{x\to 0} \frac {\tan( [-\pi^2]x^2)- \tan^2( [-\pi^2]x^2)}{\sin^2x}$

Published on 25 Jul 2020 - 16:31

score 498 · Answer 7 · 2020-07-26 07:26:14

498

Views

Find the limit: $\lim_{x\to 3^-} \dfrac{(e^{(x+3)\ln 27})^{\frac{x}{27}} -9}{3^x-27}$

Published on 26 Jul 2020 - 7:26

score 98 · Answer 8 · 2020-07-26 15:13:51

98

Views

$ \lim_{n \rightarrow \infty}(5+n)^{2n-1}((n+1)^{{1}/{n}}-n^{{1}/{n}})$ using $e$

Published on 26 Jul 2020 - 15:13

score 548 · Answer 9 · 2020-07-28 18:16:09

548

Views

Find limits of $\lim _{x \to 0} \frac {x \cos x - \sin x} {x^2 \sin x}$ without l'Hopital's rule or Taylor Expansion.

Published on 28 Jul 2020 - 18:16

score 35 · Answer 10 · 2020-07-30 20:39:07

35

Views

Prove that exist $b \gt 0$, so that $f$ may be defined at $x=0$ and be continuous.

Published on 30 Jul 2020 - 20:39

score 111 · Answer 11 · 2016-07-10 12:02:02

111

Views

Value of the limit at $x=0$

Published on 10 Jul 2016 - 12:02

score 270 · Answer 12 · 2016-07-21 16:34:43

270

Views

Limits of $a_n, b_n, c_n$

Published on 21 Jul 2016 - 16:34

score 78 · Answer 13 · 2016-07-24 17:51:22

78

Views

I need help with a limit without using L'Hopital

Published on 24 Jul 2016 - 17:51

score 72 · Answer 14 · 2016-07-26 13:40:14

72

Views

How to find all answers for these limits

Published on 26 Jul 2016 - 13:40

score 1.3k · Answer 15 · 2016-07-27 19:06:16

1.3k

Views

Find $\lim _{x\to \infty }x^{\frac{1}{x}}$ without L'Hôpital's Rule

Published on 27 Jul 2016 - 19:06

List Question

Calculate: $\lim _{x\to \infty }\left(\frac{\sqrt{x^3+4}+\sin \left(x\right)}{\sqrt{x^3+2x^2+7x+11}}\right)$.

Evaluate the limit $\lim_{x\to 0} \frac{\ln |1+x^3|}{\sin^3 x}$

How to evaluate the following limit: $\lim_{x\to 0}\frac{12^x-4^x}{9^x-3^x}$?

$\min$ in epsilon-delta

Evaluate $\lim_{x\to -\infty} \frac{x^4\sin( \frac 1x )+ x^2}{1+|x|^3}$

Evaluate $\lim_{x\to 0} \frac {\tan( [-\pi^2]x^2)- \tan^2( [-\pi^2]x^2)}{\sin^2x}$

Find the limit: $\lim_{x\to 3^-} \dfrac{(e^{(x+3)\ln 27})^{\frac{x}{27}} -9}{3^x-27}$

$ \lim_{n \rightarrow \infty}(5+n)^{2n-1}((n+1)^{{1}/{n}}-n^{{1}/{n}})$ using $e$

Find limits of $\lim _{x \to 0} \frac {x \cos x - \sin x} {x^2 \sin x}$ without l'Hopital's rule or Taylor Expansion.

Prove that exist $b \gt 0$, so that $f$ may be defined at $x=0$ and be continuous.

Value of the limit at $x=0$

Limits of $a_n, b_n, c_n$

I need help with a limit without using L'Hopital

How to find all answers for these limits

Find $\lim _{x\to \infty }x^{\frac{1}{x}}$ without L'Hôpital's Rule

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