How to make $\lim_{x \to 0} (1-2x)^{1/x}$ into $\frac{\infty}{\infty}$ or $\frac{0}{0}$ form for L'Hospital's Rule?
68070
L'Hospital's rule for $\lim_{n\rightarrow \infty} (a^n + b^n)^\frac{1}{n}$.
123490
L'Hopital's rule and $\frac{\sin x}x$
150734
Solving $\lim\limits_{x\to0} \frac{x - \sin(x)}{x^2}$ without L'Hospital's Rule.
101630
Limit $\lim_{n\to\infty}\sqrt n(\sqrt[n]x-1)$
97571
Find the limit $ \lim_{n\to \infty} 2^{\frac{1}{n}}$
142404
Evaluating limit making it $\frac{\infty}{\infty}$ and using L'Hopital Rule
19056
Find the limit of $(2\sin x-\sin 2x)/(x-\sin x)$ as $x\to 0$ without L'Hôpital's rule
23489
Limit of $\left(1+\frac{a}{x}\right)^x$ with and without L'Hôpital's rule
65275
Finding $\lim\limits_{x\to1^-}\Bigl(\prod\limits_{n=0}^{\infty}\Bigl(\frac{1+x^{n+1}}{1+x^n}\Bigr)^{x^n}\Bigr)$
109489
How to solve $ \lim_{n\to\infty} \frac {(n!)^\frac{1}{n}}{n} $?
33701
Find this limit using L`Hopitals rule
155377
How can I calculate this limit: $\lim\limits_{x\to 0} x\left\lfloor\frac{1}{x}\right\rfloor$?
15888
How to calculate limit without L'Hopital
49094
Limit evaluate $\lim_{x\to0}{{\frac{\ln(\cos(4x))}{\ln(\cos(3x))}}}$?
93408
Trying to show that $\ln(x) = \lim_{n\to\infty} n(x^{1/n} -1)$
46990
$\lim_{x\to0}\frac{e^x-1-x}{x^2}$ using only rules of algebra of limits.
73812
Does $\lim \limits_ {n\to \infty}\ \frac{n}{n+1}$ equal $1$?