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MathsJEE Main 5 Apr 2026, Shift 1·Q17·MCQ·Moderate

Limits, Continuity & Differentiability · Trigonometric limits

The product of all possible values of α\alpha, for which lim⁡x→0(1−cos⁡(αx)cos⁡((α+1)x)cos⁡((α+2)x)sin⁡2((α+1)x))=2,\lim_{x\to0}\left(\frac{1 - \cos(\alpha x)\cos\big((\alpha+1)x\big)\cos\big((\alpha+2)x\big)}{\sin^2\big((\alpha+1)x\big)}\right) = 2, is:
  1. (1)−2-2
  2. (2)1
  3. (3)−1-1
  4. (4)54\dfrac54

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