Computing $\lim_{x\to{0+}}\frac{\tan(x)-x}{x^3}$ without L'Hôpital's rule.
3966
Are all limits solvable without L'Hôpital Rule or Series Expansion
69502
How to evaluate $\lim\limits_{x\to 0+}\frac 1x \left(\frac 1{\tan^{-1}x}-\frac 1x\right)$?
147506
Calculate $\lim\limits_{x\to4} \frac {\sqrt {1+2x}-3} {\sqrt x -2}$
155539
Evaluating the limit $\lim_{x \to 0+}\left(\frac{1}{x}-\frac{1}{\arctan(x)}\right)$
68136
$\lim\limits_{x\to 0} \frac{\tan x - \sin x}{x^3}$?
30937
How do I find $\lim\limits_{x \to 0} x\cot(6x) $ without using L'hopitals rule?
79785
Determining the limit $\lim_{h\to0} \frac{\cos(x+h) - \cos(x)}{(x+h)^{1/2} - x^{1/2}}$
32572
What is $\lim_{(x,y)\to(0,0)} \frac{(x^3+y^3)}{(x^2-y^2)}$?
49489
Compute $\lim_{n\to\infty} \int_{0}^{\pi/4}\tan^n x \ dx$
48985
Calculating $\lim_{x\to+\infty}(\sqrt{x^2-3x}-x)$
125087
Evaluate the limit of ratio of sums of sines (without L'Hopital): $\lim_{x\to0} \frac{\sin x+\sin3x+\sin5x}{\sin2x+\sin4x+\sin6x}$
62606
Non-existence of $\lim \limits_{(x, y) \to (0,0)} \frac{x^3 + y^3}{x - y} $
129011
Is there limit $ \lim_{(x,y) \to (0,0)} \frac{x^3}{x^2 + y^2}$?
136297
Evaluate $\lim_{x \to 1} \frac{\sqrt[3]{x} -1}{\sqrt{x} -1}$
98306
Limit of $n/\ln(n)$ without L'Hôpital's rule
31776
How to find $\lim_{x\to 0}\frac{\tan 3x}{\tan 5x}$?
123490
L'Hopital's rule and $\frac{\sin x}x$