How do i solve this limit? It's about $\frac{\sin(x)}{x} = 1$ and $\frac{1-\cos(x)}{x} = 0$
17029
How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?
70086
Limit without l'Hopital or Taylor series: $\lim\limits_{x \to 0} \frac{x\cos x- \sin x}{x^3}$
57152
Solve $\sin x = 1 - x$
147184
$f:[-1,1]\to \mathbb{R}$ is a continuous function such that $f(2x^2-1)=(x^3+x)f(x).$ Find $\lim_{x\to 0}\frac {f(\cos x)}{\sin x}$
102408
Evaluate the limit $\lim_{x \to 0}{\frac{\sqrt{1+x\sin{x}}-\sqrt{\cos{2x}}}{\tan^{2}{\frac{x}{2}}}}$
15583
Finding the limit of $(1-\cos(x))/x$ as $x\to 0$ with squeeze theorem
128063
How to evaluate the limit $\lim_{x\to 0} \frac{1-\cos(4x)}{\sin^2(7x)}$
125087
Evaluate the limit of ratio of sums of sines (without L'Hopital): $\lim_{x\to0} \frac{\sin x+\sin3x+\sin5x}{\sin2x+\sin4x+\sin6x}$
109489
How to solve $ \lim_{n\to\infty} \frac {(n!)^\frac{1}{n}}{n} $?
108918
Can someone explain this trigonometric limit?
40869
Solving Trigonometric Limits
13104
What is $\lim_{x \to \infty} \frac{\sin x}{\sin x}?$
7819
Calculate: $ \lim_{x \to 0 } = x \cdot \sin(\frac{1}{x}) $
125088
show that $ \lim(\sin(\frac{1}{x}))$ as $x$ approaches zero does not exist.
123476
Prove $[\sin x]' = \cos x$ without using $\lim\limits_{x\to 0}\frac{\sin x}{x} = 1$
33372
What is $\lim_{x\to\infty}\left(\sin{\frac 1x}+\cos{\frac 1x}\right)^x$?
73295
Limit approaching infinity of sine function