Let f(x)= lim y→0 ((1- cos (xy)) tan (xy))/(y³). Then the number of solutions of the equation f(x)= sin x, x is:

Limit, Continuity and Differentiability: JEE Main 2026 Mathematics question

JEE Main 2026 · 5 Apr, Evening shift · Q17

JEE Main 20265 Apr, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let

f(x)=\lim_{y\to0}\frac{(1-\cos(xy))\tan(xy)}{y^3}

. Then the number of solutions of the equation

f(x)=\sin x

x\in\mathbb{R}

is :

JEE Main 2026 · 5 Apr, Evening shift · Q17

JEE Main 20265 Apr, Evening shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let

f(x)=\lim_{y\to0}\frac{(1-\cos(xy))\tan(xy)}{y^3}

. Then the number of solutions of the equation

f(x)=\sin x

x\in\mathbb{R}

is :