List questions from exponential-function

Published on 17 Apr 2026 - 3:01

66

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Problem understanding proof that $e^a+e^b \geq e^{a+b}$

Published on 13 Apr 2026 - 3:09

58

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Prove $\frac {1}{1\cdot2} - \frac {1}{2\cdot3} + \frac{1}{3\cdot4}-\cdots = \ln 2 - 1$

Published on 17 Apr 2026 - 14:33

269

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Computing Lyapunov Exponents

Published on 03 May 2026 - 3:05

262

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Find $\sum_{n=1}^\infty \frac{n^3}{n!}$.

Published on 16 Apr 2026 - 10:00

425

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Solution of integral involving exponential and absolute values

Published on 03 Apr 2026 - 4:18

49

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Type of equation that has the property that $g(z) = 1 - g(-z)$

Published on 16 Apr 2026 - 1:23

91

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Memoryless property implies $E(\max\{X_1,X_2,\ldots,X_n\})- E(\min\{X_1,X_2,\ldots,X_n\})=E(\max\{X_1,X_2,\ldots,X_{n-1}\})$

Published on 17 Apr 2026 - 1:10

266

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Wait time in queue for 2 server system (exponential process)

Published on 29 Apr 2026 - 20:43

482

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How to prove $e^{1/e}$ is irrational?

Published on 28 Mar 2026 - 0:44

312

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Multivariable Exponential Limit Priblem

Published on 13 Apr 2026 - 9:16

69

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isolating a exponent from the sum of two terms ($16^x - 10^x = y$)

Published on 17 Apr 2026 - 8:46

117

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Show that $\sum_{k=0}^\infty \frac{1}{k!}=e$ using $e=\lim_{n\to\infty }(1+\frac{1}{n})^n$

Published on 15 Apr 2026 - 6:11

255

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Show that $e^x=\lim_{n\to\infty }(1+\frac{x}{n})^n$ using the fact that $e^q=\lim_{n\to\infty}(1+\frac{q}{n})^n$ for $q\in\mathbb Q$.

Published on 15 Apr 2026 - 17:37

64

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Is $\int z^n e^{az}dz $ a combination of exponentials and polynomials?

Published on 10 Apr 2026 - 21:46

List Question

Solving exponential equations like $2^{2x} - 3 \cdot 2^x - 10 = 0$

Problem understanding proof that $e^a+e^b \geq e^{a+b}$

Prove $\frac {1}{1\cdot2} - \frac {1}{2\cdot3} + \frac{1}{3\cdot4}-\cdots = \ln 2 - 1$

Computing Lyapunov Exponents

Find $\sum_{n=1}^\infty \frac{n^3}{n!}$.

Solution of integral involving exponential and absolute values

Type of equation that has the property that $g(z) = 1 - g(-z)$

Memoryless property implies $E(\max\{X_1,X_2,\ldots,X_n\})- E(\min\{X_1,X_2,\ldots,X_n\})=E(\max\{X_1,X_2,\ldots,X_{n-1}\})$

Wait time in queue for 2 server system (exponential process)

How to prove $e^{1/e}$ is irrational?

Multivariable Exponential Limit Priblem

isolating a exponent from the sum of two terms ($16^x - 10^x = y$)

Show that $\sum_{k=0}^\infty \frac{1}{k!}=e$ using $e=\lim_{n\to\infty }(1+\frac{1}{n})^n$

Show that $e^x=\lim_{n\to\infty }(1+\frac{x}{n})^n$ using the fact that $e^q=\lim_{n\to\infty}(1+\frac{q}{n})^n$ for $q\in\mathbb Q$.

Is $\int z^n e^{az}dz $ a combination of exponentials and polynomials?

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