Why is $\lim_{x \to 0} x = (1+\tan x)^\frac{1}{x}$ not 1?
13018
Why is $1^{\infty}$ considered to be an indeterminate form
7819
Calculate: $ \lim_{x \to 0 } = x \cdot \sin(\frac{1}{x}) $
106142
Why does L'Hopital's rule fail in calculating $\lim_{x \to \infty} \frac{x}{x+\sin(x)}$?
104269
Why does $\lim\limits_{t\to-\infty}te^t=0$?
103218
Find $\lim_{(x,y) \to (0,0)} \frac{\tan(x^3+y^3)}{\sin(x^2+y^2)}$
60831
Need hint for $\lim_{x\to 0} \frac{(x+1)^\frac{1}{x}-e}{x}$
74919
Finding limit of function $\lim_{x\to 0}\left(\frac{(1+x)^\frac1x}{e}\right)^\frac1x$
79299
Strange behavior of $\lim_{x\to0}\frac{\sin\left(x\sin\left(\frac1x\right)\right)}{x\sin\left(\frac1x\right)}$
102408
Evaluate the limit $\lim_{x \to 0}{\frac{\sqrt{1+x\sin{x}}-\sqrt{\cos{2x}}}{\tan^{2}{\frac{x}{2}}}}$
65239
Find $\lim_{x \to 0} \frac{x - \tan(x)}{x - \sin(x)}$
146770
Why is $\frac{1}{\frac{1}{0}}$ undefined?
88989
Why $x<\tan{x}$ while $0<x<\frac{\pi}{2}$?
27969
Why does $\frac{1}{x} < 4$ have two answers?
90398
How to show $\lim_{x \to 1} \frac{x + x^2 + \dots + x^n - n}{x - 1} = \frac{n(n + 1)}{2}$?
114675
Evaluating $\lim\limits_{x\to 0}(1+x)^{1/x}$?
58456
Why is $ 1^{\infty} \not= \lim_{t \to \infty} 1^t = 1$?
128218
If $\lim \limits_{x \to a}\left(f(x)+\frac{1}{f(x)}\right)=2,$ then $\lim \limits_{x \to a}f(x)=1$