New posts in exponential-function

How can I prove $\pi=e^{3/2}\prod_{n=2}^{\infty}e\left(1-\frac{1}{n^2}\right)^{n^2}$?

Solve the equation $2^x=1-x$

Finding an exponential model $ f ( x ) = a ( b ) ^ x $ satisfying $ f ( 2 ) = 3 $ and $ f ( 5 ) = 54 $

Integration by parts: $\int e^{ax}\cos(bx)\,dx$

Why $e^x$ is always greater than $x^e$?

Prove the definitions of $e$ to be equivalent

Why is $2\pi i \neq 0?$ [duplicate]

How to find $\lim_{n \to \infty}|\left( 1+\frac{z}{n}\right)^{n}|$? [duplicate]

Finding the limit of $\left(\frac{n}{n+1}\right)^n$

Could you explain why $\frac{d}{dx} e^x = e^x$ "intuitively"?

Why does the sum of the reciprocals of factorials converge to $e$?

Inequality involving $\int_0^t e^{\alpha s^2} ds$. How to justify it?

Prove that $\frac12 (e^{\alpha t^2}-1) -F(t)$ is bounded from below

How to solve this equation $x^{2}=2^{x}$?

Mirror algorithm for computing $\pi$ and $e$ - does it hint on some connection between them?

Can the graph of $x^x$ have a real-valued plot below zero?

Prove $e^{x+y}=e^{x}e^{y}$ by using Exponential Series

Is $\lfloor n!/e\rfloor$ always even for $n\in\mathbb N$?

Why does an exponential function eventually get bigger than a quadratic

If $e^A$ and $e^B$ commute, do $A$ and $B$ commute?