about limit of exponential function
97747
Limit of $\lim\limits_{n\to\infty} (1 + \frac{x_n}{n})^n$
20956
Correct way to prove the limit: $\mathop {\lim }\limits_{x \to 0} {x^\alpha }\int\limits_x^1 {\frac{{f\left( t \right)}}{{{t^{\alpha  + 1}}}}dt} $?
54830
Find the limit $\lim\limits_{x\to\infty} f(x)= \lim\limits_{x \to \infty} \left(\frac{x}{x+1}\right)^x$
101630
Limit $\lim_{n\to\infty}\sqrt n(\sqrt[n]x-1)$
17329
How do I find this limit: $\lim_{n\to\infty} \left[ n-{n\over e}\left(1+{1\over n}\right)^n \right]$?
135731
Is there a way to show that $e^x=\lim_{n\to \infty }\left(1+\frac{x}{n}\right)^n$?
149862
Limit of function with natural logarithm
56671
Find the limit $ \lim_{x \to \infty} \frac{e^{x}}{(1+\frac{1}{x})^{x^{2}}} $
114924
What is $ \lim_{n\to\infty}\frac{1}{e^n}\Bigl(1+\frac1n\Bigr)^{n^2}$?
115941
Prove that the limit definition of the exponential function implies its infinite series definition.
30181
Proving that $\lim\limits_{x \to 0}\frac{e^x-1}{x} = 1$
36384
Q: $\lim_{n\to \infty}\left(1 + \frac{1}{n}\right)^{n} = e$
28413
Limit of a continuous function
90307
How to compute the above limit
152262
Limit of function of hyperbolic
101687
$ \lim_{x\to o} \frac{(1+x)^{\frac1x}-e+\frac{ex}{2}}{ex^2} $
71743
$\lim (1+\frac{1}{n+1})^n = e$