Calculate the limit : $\lim_{x \to 0}\frac{x-\sin{x}}{x^3}$ WITHOUT using L'Hopital's rule
64860
Evaluation of $\lim\limits_{x\rightarrow0} \frac{\tan(x)-x}{x^3}$
67429
Solve $\lim_{x\to0}{\frac{x^2\cdot\sin\frac{1}{x}}{\sin x}}$
31776
How to find $\lim_{x\to 0}\frac{\tan 3x}{\tan 5x}$?
119469
Find the limit of $\lim\limits_{(x,y)\to (0,0)} \frac{x^2y^2}{x^2y^2+(x-y)^2}$
80314
Finding $\lim\limits_{x\to 0}\frac{\sin{3x}}{x}$
81537
Limit: $\lim_{x\to 0}\frac{\tan3x}{\sin2x}$
64628
Solving limits of a sine wave $\lim_{x\to+\infty}\frac{\sin(x)}{x}$
23489
Limit of $\left(1+\frac{a}{x}\right)^x$ with and without L'Hôpital's rule
150981
Why doesn't using the approximation $\sin x\approx x$ near $0$ work for computing this limit?
33372
What is $\lim_{x\to\infty}\left(\sin{\frac 1x}+\cos{\frac 1x}\right)^x$?
135159
Limits using L'Hopital's rule $\lim_{x\to0^+} (x^{x^x-1})$
102408
Evaluate the limit $\lim_{x \to 0}{\frac{\sqrt{1+x\sin{x}}-\sqrt{\cos{2x}}}{\tan^{2}{\frac{x}{2}}}}$
46654
Using the Squeeze Theorem on $\lim_{x\to 0}\frac{\sin^2x}{x^2}$
84788
Find limit of $\lim_{x\to 0}\frac{\sin^{200}(x)}{x^{199}\sin(4x)}$, if it exists
98392
Value of the limit $\lim_{x \to 0} \frac{\sin(\frac{1}{x})}{\sin(\frac{1}{x})}$
75705
Finding derivative of $\sqrt[3]{x}$ using only limits
145913
Find $\lim_{x\rightarrow 0} \frac{\cos x - 1}{x}$