Evaluate $\lim _{x \to 0} [2x^{-3}(\sin^{-1}x - \tan^{-1}x )]^{2x^{-2}}$=?
105897
Evaluate the limit containing $\arctan{x}$ and $\arcsin{x}$
82968
Find $(a,b)$ such that $\lim\limits_{x\to 0}\frac{f(x)}{x}=1$ implies $\lim\limits_{x\to 0}\frac{x(1+a\cos x)-b\sin x}{(f(x))^3}=1$
70086
Limit without l'Hopital or Taylor series: $\lim\limits_{x \to 0} \frac{x\cos x- \sin x}{x^3}$
117446
calculation of $\int_{0}^{1}\tan^{-1}(1-x+x^2)dx$
68136
$\lim\limits_{x\to 0} \frac{\tan x - \sin x}{x^3}$?
151329
Showing $\lim_{(x,y) \to (0,0)} \sin (xy) / xy = 1$
126578
Evaluate $\lim_{(x,y)\to(0,0)}\frac{\cos(xy)-1}{x^2y^2}$
155539
Evaluating the limit $\lim_{x \to 0+}\left(\frac{1}{x}-\frac{1}{\arctan(x)}\right)$
109171
How to evaluate this trigonometric limit?
102408
Evaluate the limit $\lim_{x \to 0}{\frac{\sqrt{1+x\sin{x}}-\sqrt{\cos{2x}}}{\tan^{2}{\frac{x}{2}}}}$
5157
How to evaluate $ \lim_{(x,y)\to(0,0)}\frac{y^2\sin^2x}{x^4+y^4} $
69502
How to evaluate $\lim\limits_{x\to 0+}\frac 1x \left(\frac 1{\tan^{-1}x}-\frac 1x\right)$?
40869
Solving Trigonometric Limits
85531
Calculate $\lim_{x\to 0}\frac{1}{x^{\sin(x)}}$
46654
Using the Squeeze Theorem on $\lim_{x\to 0}\frac{\sin^2x}{x^2}$
5947
Limit of a trigonometric rational expression
153009
Evaluating power series on the radius of convergence for $\tan^{-1}(x)$