Question

Spivak Calculus, Ch 5 Limits, Problem 11: What exactly does it mean that limits are a local property?

score 92 · Answer 1 · 2021-12-20 16:47:35

92

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Spivak Calculus, Ch 5 Limits, Problem 11: What exactly does it mean that limits are a local property?

Published on 20 Dec 2021 - 16:47

score 117 · Answer 2 · 2021-12-20 19:37:07

117

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Spivak Calculus, Ch. 5 Limits, Problem 14a: Possible typos in solution manual solution?

Published on 20 Dec 2021 - 19:37

score 219 · Answer 3 · 2021-12-21 17:18:03

219

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Evaluate $\lim_{x \to 0}{\frac{\sqrt[3]{1 + cx} - 1}{x}}$ without using L-H Rule

Published on 21 Dec 2021 - 17:18

score 94 · Answer 4 · 2021-12-22 12:03:28

94

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Spivak, Ch 5 Limits, Prob. *20: Prove if $f(x)=x$, $x\in Q$, $f(x)=-x$, $x \in Q'$, then $\nexists$ $\lim_{x \to a} f(x)$ if $a \neq 0$

Published on 22 Dec 2021 - 12:03

score 57 · Answer 5 · 2021-12-22 16:23:15

57

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Spivak, Ch. 5, Problem 22: Prove relationship between limits of functions

Published on 22 Dec 2021 - 16:23

score 96 · Answer 6 · 2021-12-23 21:40:14

96

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$ \lim\limits_{x \to \infty} x^2(4^{\frac{1}{x}} - 4^{\frac{1}{1+x}}) $

Published on 23 Dec 2021 - 21:40

score 77 · Answer 7 · 2021-12-28 17:21:58

77

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Limit without De L'Hospital: $\lim_{x\to \pi/2}\frac{\sin x-1}{2x-\pi}$

Published on 28 Dec 2021 - 17:21

score 143 · Answer 8 · 2021-12-29 22:40:50

143

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What is the $\lim_{n\to\infty}\frac{e^{n^{2}}}{(2n)!}$?

Published on 29 Dec 2021 - 22:40

score 91 · Answer 9 · 2021-12-30 14:43:34

91

Views

$\lim_{n\to+\infty} {n^{(4/3)}} \Big( \sqrt[3]{n^2 +1} + \sqrt[3]{3- n^2} \Big)$

Published on 30 Dec 2021 - 14:43

score 78 · Answer 10 · 2022-01-02 17:09:30

78

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Evaluating $\lim_{x \to \frac{1}{4}} \frac{x^2}{\left(2\sqrt{x} - 1\right)^2}$

Published on 02 Jan 2022 - 17:09

score 65 · Answer 11 · 2022-01-03 11:18:10

65

Views

A question on the limit at infinity

Published on 03 Jan 2022 - 11:18

score 47 · Answer 12 · 2022-01-04 11:57:43

47

Views

Im stuck with the ε-δ deﬁnition of a limit of succession

Published on 04 Jan 2022 - 11:57

score 44 · Answer 13 · 2022-01-04 13:06:11

44

Views

I dont know how i can resolve this problem of the ε deﬁnition of a limit of succession

Published on 04 Jan 2022 - 13:06

score 100 · Answer 14 · 2026-04-07 09:08:04

100

Views

Does the limit : $\lim _{x\to \infty }\frac{\ln x^{\frac{1}{3}}}{\sin x}$ exist

Published on 07 Apr 2026 - 9:08

score 93 · Answer 15 · 2022-01-07 13:29:32

93

Views

Calculate $\lim_{x\to \infty}(\frac{\sqrt[x]{2} + \sqrt[x]{3}} {\sqrt[x]{4} + \sqrt[x]{5}})^x$

Published on 07 Jan 2022 - 13:29

List Question

Spivak Calculus, Ch 5 Limits, Problem 11: What exactly does it mean that limits are a local property?

Spivak Calculus, Ch. 5 Limits, Problem 14a: Possible typos in solution manual solution?

Evaluate $\lim_{x \to 0}{\frac{\sqrt[3]{1 + cx} - 1}{x}}$ without using L-H Rule

Spivak, Ch 5 Limits, Prob. *20: Prove if $f(x)=x$, $x\in Q$, $f(x)=-x$, $x \in Q'$, then $\nexists$ $\lim_{x \to a} f(x)$ if $a \neq 0$

Spivak, Ch. 5, Problem 22: Prove relationship between limits of functions

$ \lim\limits_{x \to \infty} x^2(4^{\frac{1}{x}} - 4^{\frac{1}{1+x}}) $

Limit without De L'Hospital: $\lim_{x\to \pi/2}\frac{\sin x-1}{2x-\pi}$

What is the $\lim_{n\to\infty}\frac{e^{n^{2}}}{(2n)!}$?

$\lim_{n\to+\infty} {n^{(4/3)}} \Big( \sqrt[3]{n^2 +1} + \sqrt[3]{3- n^2} \Big)$

Evaluating $\lim_{x \to \frac{1}{4}} \frac{x^2}{\left(2\sqrt{x} - 1\right)^2}$

A question on the limit at infinity

Im stuck with the ε-δ deﬁnition of a limit of succession

I dont know how i can resolve this problem of the ε deﬁnition of a limit of succession

Does the limit : $\lim _{x\to \infty }\frac{\ln x^{\frac{1}{3}}}{\sin x}$ exist

Calculate $\lim_{x\to \infty}(\frac{\sqrt[x]{2} + \sqrt[x]{3}} {\sqrt[x]{4} + \sqrt[x]{5}})^x$

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