Calculate $\lim_{x \to 0} (e^x-1)/x$ without using L'Hôpital's rule
30181
Proving that $\lim\limits_{x \to 0}\frac{e^x-1}{x} = 1$
101687
$ \lim_{x\to o} \frac{(1+x)^{\frac1x}-e+\frac{ex}{2}}{ex^2} $
113765
$\lim_{x\to0} \frac{x-\sin x}{x-\tan x}$ without using L'Hopital
41419
Solution of limit $\lim\limits_{x\to 0} \frac {e^{-1/x^2}}{x} $
70742
Evaluate $\lim_{x\rightarrow 0} \frac{\sin (6x)}{\sin(2x)}$ without L'Hopital
85311
Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator
142404
Evaluating limit making it $\frac{\infty}{\infty}$ and using L'Hopital Rule
79618
Find the limit without use of L'Hôpital or Taylor series: $\lim \limits_{x\rightarrow 0} \left(\frac{1}{x^2}-\frac{1}{\sin^2 x}\right)$
46990
$\lim_{x\to0}\frac{e^x-1-x}{x^2}$ using only rules of algebra of limits.
149792
Show that $\lim_{p \to 0} \mathbb {E} [(X^p-1)/p ] = \mathbb{E} [\log X]$
137919
How do I find $\lim_{(x,y) \to (0,0)} \frac{\sqrt{xy + 1} -1}{x + y}$?
113781
How can I calculate $\lim_{x\to 0} \frac{\arctan(x)-\arcsin(x)}{x^3}$ without L'Hôpital?
60321
Use the definition of derivative to prove $\lim_{x\to 0}\ln(x+1)/x =1$
111929
Find the limit: $\lim_\limits{x\to 0}{\frac{\left(1+x\right)^{1/x}-e}{x}}$
95962
proving a theorem from limit using Hopital rule
142298
Limit of a function with powers (L'Hopital doesnt work)
4289
$\lim_{x\to0}\dfrac{1}{x}-\lim_{x\to0}\dfrac{1}{x}$