Question

prove that $ -2 + x + (2+x)e^{-x}>0 \quad \forall x>0$

score 138 · Answer 1 · 2018-10-23 21:11:23

138

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prove that $ -2 + x + (2+x)e^{-x}>0 \quad \forall x>0$

Published on 23 Oct 2018 - 21:11

score 164 · Answer 2 · 2018-10-23 22:36:15

164

Views

Using $ \sum_{k=0}^{\infty}\frac{(-1)^{k}}{k!}=\frac1e$ evaluate first $3$ decimal digits of $1/e$.

Published on 23 Oct 2018 - 22:36

score 45 · Answer 3 · 2026-03-25 12:55:15

45

Views

Expectation of minimum with exponential distributions

Published on 25 Mar 2026 - 12:55

score 189 · Answer 4 · 2018-10-24 02:18:27

189

Views

Related Rates: Population

Published on 24 Oct 2018 - 2:18

score 127 · Answer 5 · 2026-03-27 17:06:10

127

Views

Set of real values of $k$ such that $4\cdot 2^{2x}-4k\cdot 2^x+5-4k\geq 0$ has a real solution

Published on 27 Mar 2026 - 17:06

score 60 · Answer 6 · 2018-10-25 18:45:42

60

Views

Is $|\frac{y}{x^2}|\exp(- |\frac{y}{x^2}|)$ continuous?

Published on 25 Oct 2018 - 18:45

score 67 · Answer 7 · 2018-10-26 16:24:25

67

Views

Is it ok to switch to logarithms when testing divergence of sequences involving a sum of exponentials? E.g $x_n = 5^n - 4^n \to \ln5^n - \ln4^n$

Published on 26 Oct 2018 - 16:24

score 17 · Answer 8 · 2026-03-16 19:44:13

17

Views

Finding exponential coefficients given 3 pairs of y values evenly spaced, but not the distance between the pairs

Published on 16 Mar 2026 - 19:44

score 91 · Answer 9 · 2018-10-27 06:04:27

91

Views

how to find a, b that satisfy $\displaystyle \lim_{x \to 0} \frac{e^{-2x} -\frac{1+ax}{1+bx}}{x^2}=0$

Published on 27 Oct 2018 - 6:04

score 134 · Answer 10 · 2018-10-27 07:24:01

134

Views

Why can't I find the value of $x$ using logarithms?

Published on 27 Oct 2018 - 7:24

score 200 · Answer 11 · 2018-10-28 23:44:23

200

Views

Show exists a constant $\overline{y}>0$, such that for any fixed $y\in [0,\overline{y}]$,$g(x,y)=0$ has a solution

Published on 28 Oct 2018 - 23:44

score 1.8k · Answer 12 · 2018-10-29 20:24:37

1.8k

Views

What is $\ln(e^{ix})$?

Published on 29 Oct 2018 - 20:24

score 514 · Answer 13 · 2018-10-30 08:59:22

514

Views

Calculating the approximation of an integral using the first four terms of a Maclaurin series.

Published on 30 Oct 2018 - 8:59

score 45 · Answer 14 · 2018-10-30 14:43:13

45

Views

Interesting limit

Published on 30 Oct 2018 - 14:43

score 445 · Answer 15 · 2018-10-30 16:47:22

445

Views

Definite integral of Gumbel functions

Published on 30 Oct 2018 - 16:47

List Question

prove that $ -2 + x + (2+x)e^{-x}>0 \quad \forall x>0$

Using $ \sum_{k=0}^{\infty}\frac{(-1)^{k}}{k!}=\frac1e$ evaluate first $3$ decimal digits of $1/e$.

Expectation of minimum with exponential distributions

Related Rates: Population

Set of real values of $k$ such that $4\cdot 2^{2x}-4k\cdot 2^x+5-4k\geq 0$ has a real solution

Is $|\frac{y}{x^2}|\exp(- |\frac{y}{x^2}|)$ continuous?

Is it ok to switch to logarithms when testing divergence of sequences involving a sum of exponentials? E.g $x_n = 5^n - 4^n \to \ln5^n - \ln4^n$

Finding exponential coefficients given 3 pairs of y values evenly spaced, but not the distance between the pairs

how to find a, b that satisfy $\displaystyle \lim_{x \to 0} \frac{e^{-2x} -\frac{1+ax}{1+bx}}{x^2}=0$

Why can't I find the value of $x$ using logarithms?

Show exists a constant $\overline{y}>0$, such that for any fixed $y\in [0,\overline{y}]$,$g(x,y)=0$ has a solution

What is $\ln(e^{ix})$?

Calculating the approximation of an integral using the first four terms of a Maclaurin series.

Interesting limit

Definite integral of Gumbel functions

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