Limits with L'Hôpital's rule
82968
Find $(a,b)$ such that $\lim\limits_{x\to 0}\frac{f(x)}{x}=1$ implies $\lim\limits_{x\to 0}\frac{x(1+a\cos x)-b\sin x}{(f(x))^3}=1$
30937
How do I find $\lim\limits_{x \to 0} x\cot(6x) $ without using L'hopitals rule?
142404
Evaluating limit making it $\frac{\infty}{\infty}$ and using L'Hopital Rule
106527
Limit of $(\cos1/n)^{n^2}$ when $n\to\infty$
122093
Limit involving cosine function
44668
Limit of $x\left(\left(1 + \frac{1}{x}\right)^x - e\right)$ when $x\to\infty$
68070
L'Hospital's rule for $\lim_{n\rightarrow \infty} (a^n + b^n)^\frac{1}{n}$.
130307
Limits under multiple \sum
95962
proving a theorem from limit using Hopital rule
41648
The Intuition behind l'Hopitals Rule
32742
The limit of $\frac{|A_n|}{n^2}$
103285
Limit of a periodic function
82837
Calculating limit of function
123568
Solving limit given a limit
89180
limit of reciprocal of function
139386
Limits of trigonometric functions: $\lim _{x\to \pi } \frac{\cos(x/2)}{\pi ^2-x^2}$
90307
How to compute the above limit