Trigonometric Limit (No L'Hôpital)
68136
$\lim\limits_{x\to 0} \frac{\tan x - \sin x}{x^3}$?
45728
Proving a limit of a trigonometric function: $\lim_{x \to 2/\pi}\lfloor \sin \frac{1}{x} \rfloor=0$
37755
Limit $\lim_{x \to \infty}{\sin{\sqrt{x+1}}-\sin{\sqrt{x}}}$
84788
Find limit of $\lim_{x\to 0}\frac{\sin^{200}(x)}{x^{199}\sin(4x)}$, if it exists
155979
$\lim_{x\to 0} \frac{\sin x - x}{x^2}$ without L'Hospital or Taylor
77669
Limits of trig functions
70086
Limit without l'Hopital or Taylor series: $\lim\limits_{x \to 0} \frac{x\cos x- \sin x}{x^3}$
2167
Find the limit $\lim\limits_{x\to \infty}(e^{-x}+2\cos3x)$, or show that it does not exist.
30937
How do I find $\lim\limits_{x \to 0} x\cot(6x) $ without using L'hopitals rule?
79785
Determining the limit $\lim_{h\to0} \frac{\cos(x+h) - \cos(x)}{(x+h)^{1/2} - x^{1/2}}$
117542
Finding the limit $\displaystyle\lim_{x\to 0+} \left(\frac{\sin x}x\right)^{1/{x^2}}$
123490
L'Hopital's rule and $\frac{\sin x}x$
80314
Finding $\lim\limits_{x\to 0}\frac{\sin{3x}}{x}$
86634
How to find $ \lim_{(x,y)\to(0,0)} \frac{\sin^2 (x-y)}{|x|+|y|} $?
39752
Is there a limit of $\cos(n!)$?
65266
A limit problem $\lim\limits_{x \to 0}\frac{x\sin(\sin x) - \sin^{2}x}{x^{6}}$
26408
Evaluate a limit (probably involving L'Hôpital rule)