Limit problem without l'Hopital's rule
56085
Calculate the limit : $\lim_{x \to 0}\frac{x-\sin{x}}{x^3}$ WITHOUT using L'Hopital's rule
107203
Using Squeeze Theorem to show the following limits
118204
Finding limit of $\left(1 +\frac1x\right)^x$ without using L'Hôpital's rule.
33495
A limit problem about $a_{n+1}=a_n+\frac{n}{a_n}$
13533
Proof that the limit of $\frac{1}{x}$ as $x$ approaches $0$ does not exist
150734
Solving $\lim\limits_{x\to0} \frac{x - \sin(x)}{x^2}$ without L'Hospital's Rule.
140969
Limit of square root problem
98306
Limit of $n/\ln(n)$ without L'Hôpital's rule
142404
Evaluating limit making it $\frac{\infty}{\infty}$ and using L'Hopital Rule
136024
Show that the limit does not exist $\lim_{(x, y) \to (0,0)}\frac{5x^2}{x^2 + y^2}$
157680
Calculation of limit without stirling approximation
62606
Non-existence of $\lim \limits_{(x, y) \to (0,0)} \frac{x^3 + y^3}{x - y} $
100064
How to find the limit without L'Hospital?
158447
Limit as $(x,y)$ approaches $(0,0)$ of $(1+x^2+y^2)^{\frac{1}{x^2+y^2+xy^2}}$
19056
Find the limit of $(2\sin x-\sin 2x)/(x-\sin x)$ as $x\to 0$ without L'Hôpital's rule
103055
Proving the quotient rule for limits
95962
proving a theorem from limit using Hopital rule