Question

Mean Value Theorem: Exponent and Natural Log

score 42 · Answer 1 · 2023-03-04 17:24:35

42

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Mean Value Theorem: Exponent and Natural Log

Published on 04 Mar 2023 - 17:24

score 35 · Answer 2 · 2023-03-14 21:29:17

35

Views

differentiability on the endpoint of a interval.

Published on 14 Mar 2023 - 21:29

score 141 · Answer 3 · 2023-03-23 17:34:24

141

Views

Help with a step on a proof of the maximum principle for harmonic functions over a connected region

Published on 23 Mar 2023 - 17:34

score 72 · Answer 4 · 2023-03-27 04:16:47

72

Views

How to prove using Mean value theorem $3^x-2^x >(1.5)^x, \:\forall x \geq 2$

Published on 27 Mar 2023 - 4:16

score 107 · Answer 5 · 2023-03-30 11:42:34

107

Views

Show by $\varepsilon-\delta$ argument that $\displaystyle\lim_{x\to 0}\frac{\ln(1+x)}{x}=1$.

Published on 30 Mar 2023 - 11:42

score 99 · Answer 6 · 2023-04-08 08:58:04

99

Views

Application of Rolle's theorem for finding roots of a function and its derivative

Published on 08 Apr 2023 - 8:58

score 79 · Answer 7 · 2023-04-11 12:39:12

79

Views

Intuition behind natural log returns in finance and how to calculate natural log without calculator?

Published on 11 Apr 2023 - 12:39

score 63 · Answer 8 · 2023-04-23 16:24:04

63

Views

Show that for every $\epsilon>0$, there exists $x_{\epsilon}$ real number such that $|f(x_{\epsilon})|<\epsilon$

Published on 23 Apr 2023 - 16:24

score 97 · Answer 9 · 2023-04-25 16:21:21

97

Views

Let $F:[0,1] \rightarrow \mathbb{R} $ be continuous. Suppose $F$ is differentiable on (0,1), $F(0) = 0$ and $F(x)>0$ for all $x \in (0,1)$.

Published on 25 Apr 2023 - 16:21

score 32 · Answer 10 · 2023-04-26 08:26:15

32

Views

Mean value theorem to show uniform convergence

Published on 26 Apr 2023 - 8:26

score 87 · Answer 11 · 2023-04-27 03:07:03

87

Views

What is the logic behind the last step in Hormander's proof of the mean value inequality?

Published on 27 Apr 2023 - 3:07

score 16 · Answer 12 · 2023-04-28 11:29:04

Case $\lim_{a^+} {f}/{g} = \infty$ when inferring l'Hospital's rule $\lim_{a^+} f = \infty = \lim{a^+} g$ case from the $0/0$ case - how to find sign

score 119 · Answer 13 · 2023-04-28 13:28:05

119

Views

A quite tricky problem about mean value theorem.

Published on 28 Apr 2023 - 13:28

score 55 · Answer 14 · 2023-04-28 14:00:23

55

Views

$f(x_0) + f''(x_0) = 2f'(x_0)$

Published on 28 Apr 2023 - 14:00

score 39 · Answer 15 · 2023-04-29 17:41:53

39

Views

Is there a Mean Value Theorem (in several variables) of the form $|f(x)-f(y)|\ge [\ldots]$?

Published on 29 Apr 2023 - 17:41

List Question

Mean Value Theorem: Exponent and Natural Log

differentiability on the endpoint of a interval.

Help with a step on a proof of the maximum principle for harmonic functions over a connected region

How to prove using Mean value theorem $3^x-2^x >(1.5)^x, \:\forall x \geq 2$

Show by $\varepsilon-\delta$ argument that $\displaystyle\lim_{x\to 0}\frac{\ln(1+x)}{x}=1$.

Application of Rolle's theorem for finding roots of a function and its derivative

Intuition behind natural log returns in finance and how to calculate natural log without calculator?

Show that for every $\epsilon>0$, there exists $x_{\epsilon}$ real number such that $|f(x_{\epsilon})|<\epsilon$

Let $F:[0,1] \rightarrow \mathbb{R} $ be continuous. Suppose $F$ is differentiable on (0,1), $F(0) = 0$ and $F(x)>0$ for all $x \in (0,1)$.

Mean value theorem to show uniform convergence

What is the logic behind the last step in Hormander's proof of the mean value inequality?

Case $\lim_{a^+} {f}/{g} = \infty$ when inferring l'Hospital's rule $\lim_{a^+} f = \infty = \lim{a^+} g$ case from the $0/0$ case - how to find sign

A quite tricky problem about mean value theorem.

$f(x_0) + f''(x_0) = 2f'(x_0)$

Is there a Mean Value Theorem (in several variables) of the form $|f(x)-f(y)|\ge [\ldots]$?

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