Limit of a trig function. (Without using L'Hopital)
70086
Limit without l'Hopital or Taylor series: $\lim\limits_{x \to 0} \frac{x\cos x- \sin x}{x^3}$
94168
evaluate the limit as $x$ approaches $0$ of $(\cos x-1)/x$ without l'Hopital's rule
119907
Finding the Derivative of |x| using the Limit Definition
3966
Are all limits solvable without L'Hôpital Rule or Series Expansion
88925
How find this limit $\lim\limits_{x\to 0^{+}}\frac{\sin{(\tan{x})}-\tan{(\sin{x})}}{x^7}$
36063
Finding the limit of $(1-\cos x)/x^2$
105897
Evaluate the limit containing $\arctan{x}$ and $\arcsin{x}$
129011
Is there limit $ \lim_{(x,y) \to (0,0)} \frac{x^3}{x^2 + y^2}$?
138583
What is the limit of $\lim\limits_{x→∞}\frac{\sin x}{x}$
65213
How to find $\lim\limits_{x\to0}\frac{e^x-1-x}{x^2}$ without using l'Hopital's rule nor any series expansion?
73295
Limit approaching infinity of sine function
128063
How to evaluate the limit $\lim_{x\to 0} \frac{1-\cos(4x)}{\sin^2(7x)}$
104227
How to obtain the limit of $xy\log(x^2+y^2)$ when $(x,y)\to(0,0)$ without using polar coordinates or L'Hôpital?
26408
Evaluate a limit (probably involving L'Hôpital rule)
82837
Calculating limit of function
155539
Evaluating the limit $\lim_{x \to 0+}\left(\frac{1}{x}-\frac{1}{\arctan(x)}\right)$
120493
L'hopitals rule with limits