Proving $\lim_{x\to 0} \frac{\sin x}{x}=1$
17029
How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?
156610
To prove the limit of $\frac{x^2+2\cos x-2}{x\sin^3 x}$ at zero is $1/12$
22709
Show that $\lim_{x\to \frac{\pi}{2}} \frac{1}{\big(x-\frac{\pi}{2}\big)}+{\tan(x)}=0$.
152640
show that $\lim(\pi(x)/x) = 0$
1444
Prove/Show that Limit is equal to 0.
71891
$\lim_{x \to 0} f(x)=\frac{\tan 3x}{\tan 2x}$ without L'Hospital
98392
Value of the limit $\lim_{x \to 0} \frac{\sin(\frac{1}{x})}{\sin(\frac{1}{x})}$
123490
L'Hopital's rule and $\frac{\sin x}x$
28161
Solve $\lim_{x\to 0} \frac{\sin x-x}{x^3}$
78877
Limit: $\lim\limits_{x\to0}\frac{e^x-e^{\sin x}}{x-\sin x}$
1057
How prove this integral limit $=f(\frac{1}{2})$
64001
What is the result of $\lim\limits_{x \to 0}(1/x - 1/\sin x)$?
82968
Find $(a,b)$ such that $\lim\limits_{x\to 0}\frac{f(x)}{x}=1$ implies $\lim\limits_{x\to 0}\frac{x(1+a\cos x)-b\sin x}{(f(x))^3}=1$
85531
Calculate $\lim_{x\to 0}\frac{1}{x^{\sin(x)}}$
149102
Evaluating $\lim_{x \to 0} x\sin\left(\frac{1}{x}\right)$ or showing it does not exist
65239
Find $\lim_{x \to 0} \frac{x - \tan(x)}{x - \sin(x)}$
79684
Finding $\lim \limits_{x \to 0} \frac{1 - \cos x}{x}$, given $\lim \limits_{x \to 0} \frac{\sin x}{x} = 1$