How to compute $\lim _{x\to 0}\frac{(1+x)^{1\over x}-e}{x}$ without using a series expansion?
50300
How to solve this limit: $\lim\limits_{x\to0}\frac{(1+x)^{1/x}-e}x$?
27511
Prove that $\lim_{x \to \infty} \frac{\log(1+e^x)}{x} = 1$
148170
Difficulty in evaluating a limit: $\lim_{x \to \infty} \frac{e^x}{\left(1+\frac{1}{x}\right)^{x^2}}$
71743
$\lim (1+\frac{1}{n+1})^n = e$
128456
Evaluating $\lim_{x\to0}\left(\frac{1+x2^x}{1+x3^x}\right)^\frac1{x^2}$
150734
Solving $\lim\limits_{x\to0} \frac{x - \sin(x)}{x^2}$ without L'Hospital's Rule.
135731
Is there a way to show that $e^x=\lim_{n\to \infty }\left(1+\frac{x}{n}\right)^n$?
154506
Evaluating $\lim_{n\rightarrow\infty} (\frac{(1+\frac{1}{n})^n}{e})^n$
147264
$ (1 + x)^{1/x} $ when $ x \to \infty$ without L’Hospital’s Rule
157680
Calculation of limit without stirling approximation
40227
Compute $\lim\limits_{n\to\infty}n^2\left(\left(1+\frac1{n+1}\right)^{n+1}-\left(1+\frac1n\right)^n\right)$
17329
How do I find this limit: $\lim_{n\to\infty} \left[ n-{n\over e}\left(1+{1\over n}\right)^n \right]$?
36648
The limit of $((1+x)^{1/x} - e+ ex/2)/x^2$ as $x\to 0$
9746
Determine the following limit as x approaches 0: $\frac{\ln(1+x)}x$
65015
Computing $\lim_{n \to \infty} \sqrt[n]{ \int_{0}^{1} (1+x^n)^n dx}$
19263
Limit as $x\to 0$ of $\frac{(1+x)^{1/x}-e}{x}$
51231
Find the limit of $\frac{n^{x}}{(1 + x)^{n}}$