Question

Function that describes the approach of (1 + 1/n)^n to Euler's number. What is the limit?

score 1.8k · Answer 1 · 2026-04-01 21:34:15

1.8k

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Function that describes the approach of (1 + 1/n)^n to Euler's number. What is the limit?

Published on 01 Apr 2026 - 21:34

score 296 · Answer 2 · 2016-08-20 09:37:58

296

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Recursive relation for power series of the exponential

Published on 20 Aug 2016 - 9:37

score 287 · Answer 3 · 2026-04-09 06:16:14

287

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How to plot the exponential function?

Published on 09 Apr 2026 - 6:16

score 613 · Answer 4 · 2026-03-29 14:07:23

613

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Can one define the $p$-adic exponential function $\exp_p (x)$ as the limit of $(1 + x/n)^n$ when $n\to\infty$?

Published on 29 Mar 2026 - 14:07

score 31 · Answer 5 · 2026-04-11 09:57:53

31

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Unknown identity

Published on 11 Apr 2026 - 9:57

score 505 · Answer 6 · 2016-08-22 14:13:27

505

Views

Show $\lim\left ( 1+ \frac{1}{n} \right )^n = e$ if $e$ is defined by $\int_1^e \frac{1}{x} dx = 1$

Published on 22 Aug 2016 - 14:13

score 449 · Answer 7 · 2026-04-10 02:43:06

449

Views

Function problem involving solving for real solutions

Published on 10 Apr 2026 - 2:43

score 80 · Answer 8 · 2016-08-23 13:12:46

80

Views

Solution to $g_c(x)= (x+c)e^{-\frac{(x+c)^2}{2}}+(x-c)e^{-\frac{(x-c)^2}{2}}$

Published on 23 Aug 2016 - 13:12

score 102 · Answer 9 · 2016-08-24 13:54:43

102

Views

Solve $z^{i+1}=4 $

Published on 24 Aug 2016 - 13:54

score 77 · Answer 10 · 2026-04-09 19:46:49

77

Views

Compound Interest and Oscillation

Published on 09 Apr 2026 - 19:46

score 267 · Answer 11 · 2026-04-09 13:20:05

267

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How do I evaluate $\int_{-\infty}^{\infty}(1-x^{2})e^{-x^{2}}\mathrm{d}x$ using simple calculus?

Published on 09 Apr 2026 - 13:20

score 97 · Answer 12 · 2026-04-10 17:54:42

97

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Find the equation for a line tangent to an equation with a point

Published on 10 Apr 2026 - 17:54

score 6.8k · Answer 13 · 2026-04-07 07:52:25

6.8k

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How to find the equation of this curve from the data?

Published on 07 Apr 2026 - 7:52

score 644 · Answer 14 · 2016-08-26 19:56:00

644

Views

Isolate x in an exponential function?

Published on 26 Aug 2016 - 19:56

score 69 · Answer 15 · 2016-08-27 00:39:30

69

Views

Do these two (relatively less common) definitions of $e^x$ extend to the complex plane?

Published on 27 Aug 2016 - 0:39

List Question

Function that describes the approach of (1 + 1/n)^n to Euler's number. What is the limit?

Recursive relation for power series of the exponential

How to plot the exponential function?

Can one define the $p$-adic exponential function $\exp_p (x)$ as the limit of $(1 + x/n)^n$ when $n\to\infty$?

Unknown identity

Show $\lim\left ( 1+ \frac{1}{n} \right )^n = e$ if $e$ is defined by $\int_1^e \frac{1}{x} dx = 1$

Function problem involving solving for real solutions

Solution to $g_c(x)= (x+c)e^{-\frac{(x+c)^2}{2}}+(x-c)e^{-\frac{(x-c)^2}{2}}$

Solve $z^{i+1}=4 $

Compound Interest and Oscillation

How do I evaluate $\int_{-\infty}^{\infty}(1-x^{2})e^{-x^{2}}\mathrm{d}x$ using simple calculus?

Find the equation for a line tangent to an equation with a point

How to find the equation of this curve from the data?

Isolate x in an exponential function?

Do these two (relatively less common) definitions of $e^x$ extend to the complex plane?

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