Not sure how to evaluate $\lim_{x\to 0}\frac{\sin6x}{\sin2x}$ (without l'Hospital)
70742
Evaluate $\lim_{x\rightarrow 0} \frac{\sin (6x)}{\sin(2x)}$ without L'Hopital
109171
How to evaluate this trigonometric limit?
79785
Determining the limit $\lim_{h\to0} \frac{\cos(x+h) - \cos(x)}{(x+h)^{1/2} - x^{1/2}}$
58646
Are there any ways to evaluate $\int^\infty_0\frac{\sin x}{x}dx$ without using double integral?
106742
Evaluating $ \lim_{x \rightarrow 0}\left (\frac{\sin(x)}{x}\right)^\frac{1}{x^2}$
125088
show that $ \lim(\sin(\frac{1}{x}))$ as $x$ approaches zero does not exist.
28161
Solve $\lim_{x\to 0} \frac{\sin x-x}{x^3}$
15888
How to calculate limit without L'Hopital
56085
Calculate the limit : $\lim_{x \to 0}\frac{x-\sin{x}}{x^3}$ WITHOUT using L'Hopital's rule
87749
Calculate limit with L'Hospital's rule
79299
Strange behavior of $\lim_{x\to0}\frac{\sin\left(x\sin\left(\frac1x\right)\right)}{x\sin\left(\frac1x\right)}$
35260
Evaluate the limit $\displaystyle\lim_{x \to 0}\frac{(e-\left(1 + x\right)^{1/x})}{\tan x}$.
127767
How to find $\lim_{(x,y)\rightarrow (0,0)} \frac{\sin(x\cdot y)}{x}$?
13104
What is $\lim_{x \to \infty} \frac{\sin x}{\sin x}?$
122301
Evaluating and proving $\lim\limits_{x\to\infty}\frac{\sin x}x$
46654
Using the Squeeze Theorem on $\lim_{x\to 0}\frac{\sin^2x}{x^2}$
155979
$\lim_{x\to 0} \frac{\sin x - x}{x^2}$ without L'Hospital or Taylor