$\lim_{x\to0}\frac{\sin x-x}{x^3}$ without de l'Hospital's Rule?
3966
Are all limits solvable without L'Hôpital Rule or Series Expansion
31146
Does the limit $\lim_{(x,y)\to (0,0)} \frac {x^3y^2}{x^4+y^6}$ exist
139386
Limits of trigonometric functions: $\lim _{x\to \pi } \frac{\cos(x/2)}{\pi ^2-x^2}$
89251
Limit $\lim\limits_{x\to0}{\frac{\ln{(e+x)}-e^x}{\cos^2{x} -e^x}}$
86634
How to find $ \lim_{(x,y)\to(0,0)} \frac{\sin^2 (x-y)}{|x|+|y|} $?
22686
Show $\lim_{h\to 0} \frac{(a^h-1)}{h}$ exists without l'Hôpital or even referencing $e$ or natural log
46156
How to find $\lim_{x \to \infty} [x]/x$?
75705
Finding derivative of $\sqrt[3]{x}$ using only limits
73786
Limit of $\frac{\sin(x+y)}{x+y}$ as $(x,y) \to (0,0)$
62606
Non-existence of $\lim \limits_{(x, y) \to (0,0)} \frac{x^3 + y^3}{x - y} $
147264
$ (1 + x)^{1/x} $ when $ x \to \infty$ without L’Hospital’s Rule
49094
Limit evaluate $\lim_{x\to0}{{\frac{\ln(\cos(4x))}{\ln(\cos(3x))}}}$?
79618
Find the limit without use of L'Hôpital or Taylor series: $\lim \limits_{x\rightarrow 0} \left(\frac{1}{x^2}-\frac{1}{\sin^2 x}\right)$
114862
Find the limit $\displaystyle \lim_{x \to 0^+} (\sin x)^\frac1{\ln x}$
155303
Does $\lim_{n\rightarrow\infty}\sin\left(\pi\sqrt[3]{n^{3}+1}\right)$ exist?
106742
Evaluating $ \lim_{x \rightarrow 0}\left (\frac{\sin(x)}{x}\right)^\frac{1}{x^2}$
113765
$\lim_{x\to0} \frac{x-\sin x}{x-\tan x}$ without using L'Hopital