Question

How to define the exponential function without calculus?

score 2.4k · Answer 1 · 2026-04-08 19:52:48

2.4k

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How to define the exponential function without calculus?

Published on 08 Apr 2026 - 19:52

score 834 · Answer 2 · 2026-04-12 05:11:49

834

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How to prove this statement with "first" principle of Mathematical induction and not strong Mathematical induction?

Published on 12 Apr 2026 - 5:11

score 887 · Answer 3 · 2026-04-16 15:45:35

887

Views

How would I find arc length of $\dfrac{e^x + e^{-x}}{2}$ without hyperbolic f(x)'s

Published on 16 Apr 2026 - 15:45

score 776 · Answer 4 · 2026-04-14 20:03:30

776

Views

How to prove $8^{2^n} - 5^{2^n}$ is divisible by $13$ where $n\in\mathbb{N}-\{0\}$ with induction?

Published on 14 Apr 2026 - 20:03

score 393 · Answer 5 · 2026-04-14 00:13:59

393

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A question about specific function with this property $f(x+y)=f(x)f(y)$

Published on 14 Apr 2026 - 0:13

score 1.3k · Answer 6 · 2026-04-16 20:00:45

1.3k

Views

Evaluate $\lim_{x\to\infty}(1 + \frac{2}{x})^x$

Published on 16 Apr 2026 - 20:00

score 104 · Answer 7 · 2026-04-11 00:33:51

104

Views

solve equation with cos and powers

Published on 11 Apr 2026 - 0:33

score 52 · Answer 8 · 2026-04-16 07:32:49

52

Views

Find necessary and sufficient conditions on A so that $e^{At}$ is bounded for all $t>0$

Published on 16 Apr 2026 - 7:32

score 106 · Answer 9 · 2026-04-17 13:06:49

106

Views

Finding $ {\int e^\sqrt[k]{-a \ln(x)+b} \:dx} $ in terms of special functions

Published on 17 Apr 2026 - 13:06

score 108 · Answer 10 · 2026-04-13 01:34:51

108

Views

Show $1+x^a \leq (1+x)^a$ for $a>1$ and $x > 0$

Published on 13 Apr 2026 - 1:34

score 72 · Answer 11 · 2026-04-11 03:01:45

72

Views

Struggling to finish an exponential equation

Published on 11 Apr 2026 - 3:01

score 506 · Answer 12 · 2026-04-16 16:54:59

506

Views

Is $ \left(\frac{1}{2}\right)^n < \frac{1}{n}\left(\frac{n-1}{n}\right)^{n-1}$ true for $n \ge 3$?

Published on 16 Apr 2026 - 16:54

score 193 · Answer 13 · 2026-04-14 09:22:58

193

Views

Extracting solutions from the two-variable exponential equation $x^y=y^x$ using the Lambert W function

Published on 14 Apr 2026 - 9:22

score 1.6k · Answer 14 · 2026-05-04 08:49:45

1.6k

Views

Linearize Shifted Exponential Decay

Published on 04 May 2026 - 8:49

score 430 · Answer 15 · 2026-04-16 09:10:09

430

Views

Closed form for $\sum_{n=1}^\infty \left(e-\left(1+\frac{1}{n}\right)^n \right)^2$?

Published on 16 Apr 2026 - 9:10

List Question

How to define the exponential function without calculus?

How to prove this statement with "first" principle of Mathematical induction and not strong Mathematical induction?

How would I find arc length of $\dfrac{e^x + e^{-x}}{2}$ without hyperbolic f(x)'s

How to prove $8^{2^n} - 5^{2^n}$ is divisible by $13$ where $n\in\mathbb{N}-\{0\}$ with induction?

A question about specific function with this property $f(x+y)=f(x)f(y)$

Evaluate $\lim_{x\to\infty}(1 + \frac{2}{x})^x$

solve equation with cos and powers

Find necessary and sufficient conditions on A so that $e^{At}$ is bounded for all $t>0$

Finding $ {\int e^\sqrt[k]{-a \ln(x)+b} \:dx} $ in terms of special functions

Show $1+x^a \leq (1+x)^a$ for $a>1$ and $x > 0$

Struggling to finish an exponential equation

Is $ \left(\frac{1}{2}\right)^n < \frac{1}{n}\left(\frac{n-1}{n}\right)^{n-1}$ true for $n \ge 3$?

Extracting solutions from the two-variable exponential equation $x^y=y^x$ using the Lambert W function

Linearize Shifted Exponential Decay

Closed form for $\sum_{n=1}^\infty \left(e-\left(1+\frac{1}{n}\right)^n \right)^2$?

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