Question

How to prove that $(1 + \frac{1}{n})^{\sqrt{n(n+1)}} < e$?

score 161 · Answer 1 · 2018-05-10 13:23:36

161

Views

How to prove that $(1 + \frac{1}{n})^{\sqrt{n(n+1)}} < e$?

Published on 10 May 2018 - 13:23

score 408 · Answer 2 · 2018-05-10 13:34:34

408

Views

How do I calculate the exponent of base 10 for a known range of values?

Published on 10 May 2018 - 13:34

score 39 · Answer 3 · 2018-05-10 16:53:23

39

Views

Analytic definite integration of $\frac{(c_1e^{-ax}-c_2e^{-bx})\sin(kx)}{x^2}$

Published on 10 May 2018 - 16:53

score 403 · Answer 4 · 2026-03-25 06:03:30

403

Views

Examples of entire functions with none, one and infinite zeros.

Published on 25 Mar 2026 - 6:03

score 37 · Answer 5 · 2018-05-11 04:10:38

37

Views

A question about exponential function/equation.

Published on 11 May 2018 - 4:10

score 233 · Answer 6 · 2018-05-11 09:21:10

233

Views

Why is $2\cdot e^{3}$ equal to $40 \cdot 2$ in this integration question?

Published on 11 May 2018 - 9:21

score 54 · Answer 7 · 2018-05-11 09:52:08

54

Views

Understanding of cost function derivatives

Published on 11 May 2018 - 9:52

score 59 · Answer 8 · 2018-05-11 20:18:50

59

Views

Proving that $\exp\in H(\mathbb{C})$ and calculating its derivative

Published on 11 May 2018 - 20:18

score 251 · Answer 9 · 2018-05-11 22:17:15

251

Views

Proving that real part of $\exp$ is positive and increasing

Published on 11 May 2018 - 22:17

score 64 · Answer 10 · 2018-05-11 23:18:36

64

Views

How do you write a formula for Compound Interest when you are also depositing a set amount each time it compounds?

Published on 11 May 2018 - 23:18

score 102 · Answer 11 · 2026-03-25 00:00:43

102

Views

Fundamental Identities on Exponents

Published on 25 Mar 2026 - 0:00

score 351 · Answer 12 · 2026-03-25 11:19:15

351

Views

How to prove that for $- x\log{(x)}\le\sqrt{x}$

Published on 25 Mar 2026 - 11:19

score 150 · Answer 13 · 2018-05-13 10:44:00

150

Views

Confirmation of Proof: $\exp_a\Big\{\sum_{k=1}^n \gcd(k,n)\cos\left(\frac{2\pi k}{n}\right)\Big\}\equiv 1\pmod n$.

Published on 13 May 2018 - 10:44

score 595 · Answer 14 · 2018-05-13 15:31:37

595

Views

Finding the sum of the infinite series $\sum^{\infty}_{k=1} \frac{k-1}{k!}$

Published on 13 May 2018 - 15:31

score 95 · Answer 15 · 2018-05-14 04:16:19

95

Views

Expression for $\exp\left(x\right) -1$

Published on 14 May 2018 - 4:16

List Question

How to prove that $(1 + \frac{1}{n})^{\sqrt{n(n+1)}} < e$?

How do I calculate the exponent of base 10 for a known range of values?

Analytic definite integration of $\frac{(c_1e^{-ax}-c_2e^{-bx})\sin(kx)}{x^2}$

Examples of entire functions with none, one and infinite zeros.

A question about exponential function/equation.

Why is $2\cdot e^{3}$ equal to $40 \cdot 2$ in this integration question?

Understanding of cost function derivatives

Proving that $\exp\in H(\mathbb{C})$ and calculating its derivative

Proving that real part of $\exp$ is positive and increasing

How do you write a formula for Compound Interest when you are also depositing a set amount each time it compounds?

Fundamental Identities on Exponents

How to prove that for $- x\log{(x)}\le\sqrt{x}$

Confirmation of Proof: $\exp_a\Big\{\sum_{k=1}^n \gcd(k,n)\cos\left(\frac{2\pi k}{n}\right)\Big\}\equiv 1\pmod n$.

Finding the sum of the infinite series $\sum^{\infty}_{k=1} \frac{k-1}{k!}$

Expression for $\exp\left(x\right) -1$

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