Newbetuts

Why is the ratio of the number of terms needed to achieve successive integer values in the harmonic series approximately $e$?

Proof that at most one of $e\pi$ and $e+\pi$ can be rational

Prove $(1 + \frac{1}{n})^n$ is bounded above

Is $f(x) = e^{−∥x∥^2}$ with $x∈R^n$ concave?

Solve $-2^x-x/2=0$ analytically

Given a matrix $A$, find $A^n$

Prove that $e^{-A} = (e^{A})^{-1}$

Equation for exponential function that is tangential to y=x at x=0? Ie. For $y=(x+d)^c+f$ at any given value of $c$?

Show that $h(e)<f(e)$ where e is the exponential

What is a nice way to compute $f(x) = x / (\exp(x) - 1)$?

Show that $e^n>\frac{(n+1)^n}{n!}$ without using induction.

$\pi$ from the unit circle, $\sqrt 2$ from the unit square but what about $e$? [duplicate]

How to prove continuity of $e^x$.

Difficulty in evaluating a limit: $\lim_{x \to \infty} \frac{e^x}{\left(1+\frac{1}{x}\right)^{x^2}}$ [duplicate]

New posts in exponential-function

Exponential Equation with base -1, 0, and 1

Nontrivial integral representations for $e$

Solve $a^x = bx$ without graphing?

Proving that the exponential function is continuous

Prove that the exponential function is differentiable

Proving that a definition of e is unique

Why is the ratio of the number of terms needed to achieve successive integer values in the harmonic series approximately $e$?

Proof that at most one of $e\pi$ and $e+\pi$ can be rational

Prove $(1 + \frac{1}{n})^n$ is bounded above

Is $f(x) = e^{−∥x∥^2}$ with $x∈R^n$ concave?

Solve $-2^x-x/2=0$ analytically

Given a matrix $A$, find $A^n$

Prove that $e^{-A} = (e^{A})^{-1}$

Equation for exponential function that is tangential to y=x at x=0? Ie. For $y=(x+d)^c+f$ at any given value of $c$?

Show that $h(e)<f(e)$ where e is the exponential

What is a nice way to compute $f(x) = x / (\exp(x) - 1)$?

Show that $e^n>\frac{(n+1)^n}{n!}$ without using induction.

$\pi$ from the unit circle, $\sqrt 2$ from the unit square but what about $e$? [duplicate]

How to prove continuity of $e^x$.

Difficulty in evaluating a limit: $\lim_{x \to \infty} \frac{e^x}{\left(1+\frac{1}{x}\right)^{x^2}}$ [duplicate]