New posts in Exponential Function

How can you show by hand that $ e^{-1/e} < \ln(2) $?

Asymptotic behaviour of $f(x) = \sum_{n=1}^\infty n^\varepsilon \frac{x^n}{n!}$ for $\varepsilon\in(0,1)$

Summation containing $\pi$ gives an expression containing $e$

Number of real roots of $3^x+4^x=2^x+5^x$ with proof

Is $\left(1+\frac1n\right)^{n+1/2}$ decreasing?

Prove $0.9999^{\!101}<0.99<0.9999^{\!100}$

Is $e^{\int \frac {1}{x}dx}$ equal to $x$ or $|x|$?

Why does $\lim\limits_{n\to\infty} e^{-n}\sum_{i=1}^{n}\frac{n^i}{i!} = \frac{1}{2}$ and not 1?

Solve $\log_2(3^x-1)=\log_3(2^x+1)$

Exponential/Logarithmic equation system