Question

Finding the limit as $x$ approaches zero for $\left(x+e^{2x}\right)^{\frac3x}$

score 385 · Answer 1 · 2020-10-07 07:53:21

385

Views

Finding the limit as $x$ approaches zero for $\left(x+e^{2x}\right)^{\frac3x}$

Published on 07 Oct 2020 - 7:53

score 72 · Answer 2 · 2020-10-07 08:55:12

72

Views

Proof: if $|a|<1$ then $a^n$ converges to $0$

Published on 07 Oct 2020 - 8:55

score 1.3k · Answer 3 · 2026-03-26 11:47:50

1.3k

Views

Understand how to evaluate $\lim _{x\to 2}\frac{\sqrt{6-x}-2}{\sqrt{3-x}-1}$

Published on 26 Mar 2026 - 11:47

score 115 · Answer 4 · 2020-10-12 19:11:22

115

Views

$\lim_{x \rightarrow 1} \frac{ x^2-1 + \sqrt{x^3+1} - \sqrt{x^4+1} }{ x-1 + \sqrt{x+1} - \sqrt{x^2+1} } $

Published on 12 Oct 2020 - 19:11

score 78 · Answer 5 · 2020-10-13 11:13:14

78

Views

Contradictory limit values when using two different ways.

Published on 13 Oct 2020 - 11:13

score 253 · Answer 6 · 2020-10-14 12:08:01

253

Views

Expression for symmetric double derivative from first principles

Published on 14 Oct 2020 - 12:08

score 332 · Answer 7 · 2020-10-14 14:13:28

332

Views

How to find first derivative of function $y=x \ln(x)$ by limit definition using this formula $y'=\lim_{h\to 0}\frac{f(x+h)-f(x)}h$?

Published on 14 Oct 2020 - 14:13

score 31 · Answer 8 · 2020-10-15 15:49:26

31

Views

Evaluate the limit without applying L'Hopital?

Published on 15 Oct 2020 - 15:49

score 128 · Answer 9 · 2020-10-16 23:52:36

128

Views

How to solve this limit $\lim_{n\to \infty}(\frac{2^n}{n^k})$?

Published on 16 Oct 2020 - 23:52

score 38 · Answer 10 · 2020-10-17 13:14:52

38

Views

Find $\lim_{x \to 3} \frac{x^{15} - 3^{15} - 15 \cdot 3^{14}(x-3)}{(x-3)^2}$

Published on 17 Oct 2020 - 13:14

score 80 · Answer 11 · 2020-10-18 18:57:28

80

Views

Evaluate $\lim _{n\to \infty }\left(\frac{n3^n\left(\sqrt{n+1}-\sqrt{n}\right)}{3^n\sqrt{n+1}+2^n}\right)$

Published on 18 Oct 2020 - 18:57

score 476 · Answer 12 · 2020-10-20 10:52:25

476

Views

Find where graph has vertical tangent line and confirm with limit calculations.

Published on 20 Oct 2020 - 10:52

score 460 · Answer 13 · 2020-10-21 18:11:15

460

Views

finding limit $\frac{\cos(2x)-1}{\sin(x^2)}$ for $x \to 0$

Published on 21 Oct 2020 - 18:11

score 71 · Answer 14 · 2020-10-22 01:09:58

71

Views

Limit at infinity of $\frac{\ln x}{x-1}$

Published on 22 Oct 2020 - 1:09

score 45 · Answer 15 · 2020-10-23 16:30:51

45

Views

Is this step in my limit evaluation correct?

Published on 23 Oct 2020 - 16:30

List Question

Finding the limit as $x$ approaches zero for $\left(x+e^{2x}\right)^{\frac3x}$

Proof: if $|a|<1$ then $a^n$ converges to $0$

Understand how to evaluate $\lim _{x\to 2}\frac{\sqrt{6-x}-2}{\sqrt{3-x}-1}$

$\lim_{x \rightarrow 1} \frac{ x^2-1 + \sqrt{x^3+1} - \sqrt{x^4+1} }{ x-1 + \sqrt{x+1} - \sqrt{x^2+1} } $

Contradictory limit values when using two different ways.

Expression for symmetric double derivative from first principles

How to find first derivative of function $y=x \ln(x)$ by limit definition using this formula $y'=\lim_{h\to 0}\frac{f(x+h)-f(x)}h$?

Evaluate the limit without applying L'Hopital?

How to solve this limit $\lim_{n\to \infty}(\frac{2^n}{n^k})$?

Find $\lim_{x \to 3} \frac{x^{15} - 3^{15} - 15 \cdot 3^{14}(x-3)}{(x-3)^2}$

Evaluate $\lim _{n\to \infty }\left(\frac{n3^n\left(\sqrt{n+1}-\sqrt{n}\right)}{3^n\sqrt{n+1}+2^n}\right)$

Find where graph has vertical tangent line and confirm with limit calculations.

finding limit $\frac{\cos(2x)-1}{\sin(x^2)}$ for $x \to 0$

Limit at infinity of $\frac{\ln x}{x-1}$

Is this step in my limit evaluation correct?

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