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MathsJEE Main 5 Apr 2026, Shift 2·Q17·MCQ·Moderate

Limits, Continuity & Differentiability · Standard trigonometric limits

Let f(x)=lim⁡y→0(1−cos⁡(xy))tan⁡(xy)y3f(x) = \displaystyle\lim_{y\to0}\frac{(1 - \cos(xy))\tan(xy)}{y^3}. Then the number of solutions of the equation f(x)=sin⁡xf(x) = \sin x, x∈Rx \in \mathbb{R} is:
  1. (1)0
  2. (2)2
  3. (3)3
  4. (4)1

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