Mathematics · essential
Standard trigonometric limits for JEE
Limits, continuity and differentiability
Formula
\[\lim_{x\to 0}\frac{\sin x}{x}=1,\qquad \lim_{x\to 0}\frac{\tan x}{x}=1,\qquad \lim_{x\to 0}\frac{1-\cos x}{x}=0,\qquad \lim_{x\to 0}\frac{1-\cos x}{x^2}=\frac12\]
Variables: \(x\) measured in radians.
Conditions: Radian measure is essential.
Most standard JEE limit and derivative derivations.