Question

Find the number of real roots of $1+x/1!+x^2/2!+x^3/3! + \ldots + x^6/6! =0$.

score 5.5k · Answer 1 · 2026-04-30 05:15:47

5.5k

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Find the number of real roots of $1+x/1!+x^2/2!+x^3/3! + \ldots + x^6/6! =0$.

Published on 30 Apr 2026 - 5:15

score 67 · Answer 2 · 2026-04-17 09:03:43

67

Views

Does every even degree polynomial in the expansion of $\exp x$ have no real roots?

Published on 17 Apr 2026 - 9:03

score 32 · Answer 3 · 2026-04-11 22:10:16

32

Views

Trying to understand an expansion/limit from geometric sum to exponentials, what kind of rule is at play?

Published on 11 Apr 2026 - 22:10

score 104 · Answer 4 · 2026-04-14 20:04:35

104

Views

Multiplicative inverse of the power series $e^x - c$ for $c \neq 1$.

Published on 14 Apr 2026 - 20:04

score 128 · Answer 5 · 2026-04-10 14:17:37

128

Views

Expotential Growth/Decay - Problem Deriving Atmospheric Pressure Formula

Published on 10 Apr 2026 - 14:17

score 80 · Answer 6 · 2026-04-16 10:30:44

80

Views

Evaluating the integral $\int_{-\infty}^{\infty}{e^{2i\mu t}\frac{{\sin^2{\lambda t}}}{\lambda t^2}}dt$

Published on 16 Apr 2026 - 10:30

score 277 · Answer 7 · 2026-04-11 06:26:44

277

Views

Exponential integral representation

Published on 11 Apr 2026 - 6:26

score 869 · Answer 8 · 2026-04-12 04:27:27

869

Views

How to show that $|\exp(z)-1|\le2|z|$ for $|z|\le 1$

Published on 12 Apr 2026 - 4:27

score 33 · Answer 9 · 2026-04-15 11:41:16

33

Views

The Limit of an Integral Containing Exponentials

Published on 15 Apr 2026 - 11:41

score 163 · Answer 10 · 2026-04-17 05:40:34

163

Views

Solving $-1=e^a-2e^{av}$ as part of an equation system

Published on 17 Apr 2026 - 5:40

score 38 · Answer 11 · 2026-04-12 02:08:06

38

Views

Function that fulfils the equation

Published on 12 Apr 2026 - 2:08

score 111 · Answer 12 · 2026-04-12 21:27:59

111

Views

Is the following solvable for x?

Published on 12 Apr 2026 - 21:27

score 690 · Answer 13 · 2026-04-24 20:15:45

690

Views

Does the matrix logarithm always converge for exponential matrices?

Published on 24 Apr 2026 - 20:15

score 80 · Answer 14 · 2026-04-16 04:01:15

80

Views

Why is $\frac{1}{x} \sum_{n=1}^x \ln (n) \sim \ln(x) - \gamma$

Published on 16 Apr 2026 - 4:01

score 192 · Answer 15 · 2026-04-24 20:20:07

192

Views

An incorrect proof that the Lie algebra matrix exponential is always injective. What's wrong?

Published on 24 Apr 2026 - 20:20

List Question

Find the number of real roots of $1+x/1!+x^2/2!+x^3/3! + \ldots + x^6/6! =0$.

Does every even degree polynomial in the expansion of $\exp x$ have no real roots?

Trying to understand an expansion/limit from geometric sum to exponentials, what kind of rule is at play?

Multiplicative inverse of the power series $e^x - c$ for $c \neq 1$.

Expotential Growth/Decay - Problem Deriving Atmospheric Pressure Formula

Evaluating the integral $\int_{-\infty}^{\infty}{e^{2i\mu t}\frac{{\sin^2{\lambda t}}}{\lambda t^2}}dt$

Exponential integral representation

How to show that $|\exp(z)-1|\le2|z|$ for $|z|\le 1$

The Limit of an Integral Containing Exponentials

Solving $-1=e^a-2e^{av}$ as part of an equation system

Function that fulfils the equation

Is the following solvable for x?

Does the matrix logarithm always converge for exponential matrices?

Why is $\frac{1}{x} \sum_{n=1}^x \ln (n) \sim \ln(x) - \gamma$

An incorrect proof that the Lie algebra matrix exponential is always injective. What's wrong?

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