Limit of $\frac{\tan(x)-x}{x^3}$ as $x$ approaches $0$ without L'Hospital's Rule
3966
Are all limits solvable without L'Hôpital Rule or Series Expansion
149376
How to Find $ \lim\limits_{x\to 0} \left(\frac {\tan x }{x} \right)^{\frac{1}{x^2}}$.
26408
Evaluate a limit (probably involving L'Hôpital rule)
70742
Evaluate $\lim_{x\rightarrow 0} \frac{\sin (6x)}{\sin(2x)}$ without L'Hopital
137963
Limit of $\frac{xy-z^2}{x^2+y^2+z^2}$ and $\frac{xy}{x^2+y^2}$ as $(x,y) \to (0,0)$
22709
Show that $\lim_{x\to \frac{\pi}{2}} \frac{1}{\big(x-\frac{\pi}{2}\big)}+{\tan(x)}=0$.
65239
Find $\lim_{x \to 0} \frac{x - \tan(x)}{x - \sin(x)}$
89265
Proving that $x - \frac{x^3}{3!} 0$
121085
Showing that $\lim\limits_{x \rightarrow 0} \frac{1}{x}$ does not exist.
156448
Evaluate the limit without using the L'Hôpital's rule
77669
Limits of trig functions
31146
Does the limit $\lim_{(x,y)\to (0,0)} \frac {x^3y^2}{x^4+y^6}$ exist
102408
Evaluate the limit $\lim_{x \to 0}{\frac{\sqrt{1+x\sin{x}}-\sqrt{\cos{2x}}}{\tan^{2}{\frac{x}{2}}}}$
125088
show that $ \lim(\sin(\frac{1}{x}))$ as $x$ approaches zero does not exist.
122145
Evaluating Limit - $(1-(\cos x)^{\sin x})/(x^3)$
94168
evaluate the limit as $x$ approaches $0$ of $(\cos x-1)/x$ without l'Hopital's rule
31776
How to find $\lim_{x\to 0}\frac{\tan 3x}{\tan 5x}$?