How do I prove that the limit as x approaches 0 of (sin(x)/x) = 1 using the definition of a limit?
17029
How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?
28161
Solve $\lim_{x\to 0} \frac{\sin x-x}{x^3}$
53688
How can one prove that $\lim_{n \to \infty}a^{1/n}=1$ for every $a>0$?
126256
Prove limit of function
65975
Calculating $\lim_{n\to\infty}\sqrt{n}\sin(\sin...(\sin(x)..)$
31889
The limit as $n$ approaches infinity of $n(a^{1/n}-1)$
152640
show that $\lim(\pi(x)/x) = 0$
46642
Continuity of $\sin(x)/x$
33372
What is $\lim_{x\to\infty}\left(\sin{\frac 1x}+\cos{\frac 1x}\right)^x$?
108918
Can someone explain this trigonometric limit?
15583
Finding the limit of $(1-\cos(x))/x$ as $x\to 0$ with squeeze theorem
112481
Given $a_{n+1} = \frac{{a_n}}{\sin({a_n})}$ with $0 < a_1 < \frac{\pi}{2}$. Show that the limit $\lim_{n\rightarrow\infty}{a_n}$ exists and find it.
117039
How to show $(1/n!)^{1/n}$ goes to $0$ as $n$ goes to infinity?
114675
Evaluating $\lim\limits_{x\to 0}(1+x)^{1/x}$?
88782
Finding the limit of $x_1=0 , x_{n+1}=\frac{1}{1+x_n}$
75571
Limit of $\sqrt x$ as $x$ approaches $0$
39148
Does $\lim_{(x,y)\to(0,0)}[x\sin (1/y)+y\sin (1/x)]$ exist?