Trigonometric limits without derivatives
17029
How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?
81537
Limit: $\lim_{x\to 0}\frac{\tan3x}{\sin2x}$
100777
Finding the derivatives of sin(x) and cos(x)
94168
evaluate the limit as $x$ approaches $0$ of $(\cos x-1)/x$ without l'Hopital's rule
14385
Solve $\int \limits_{0}^{\infty} \frac{\cos(x)}{\cosh(x)} dx$ without complex integration.
135565
Limit of $\frac{1}{x^2}-\frac{1}{\sin^2(x)}$ as $x$ approaches $0$
79618
Find the limit without use of L'Hôpital or Taylor series: $\lim \limits_{x\rightarrow 0} \left(\frac{1}{x^2}-\frac{1}{\sin^2 x}\right)$
30937
How do I find $\lim\limits_{x \to 0} x\cot(6x) $ without using L'hopitals rule?
68136
$\lim\limits_{x\to 0} \frac{\tan x - \sin x}{x^3}$?
144037
How find this limits with hardly form?
103218
Find $\lim_{(x,y) \to (0,0)} \frac{\tan(x^3+y^3)}{\sin(x^2+y^2)}$
157680
Calculation of limit without stirling approximation
125087
Evaluate the limit of ratio of sums of sines (without L'Hopital): $\lim_{x\to0} \frac{\sin x+\sin3x+\sin5x}{\sin2x+\sin4x+\sin6x}$
113781
How can I calculate $\lim_{x\to 0} \frac{\arctan(x)-\arcsin(x)}{x^3}$ without L'Hôpital?
154231
Solving trigonometric equations without a calculator or tables
85388
Prove that the limit of $\sin n$ as $n \rightarrow \infty$ does not exist
115090
Alternative definition of hyperbolic cosine without relying on exponential function