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MathsJEE Main 2 Apr 2026, Shift 1·Q16·MCQ·Moderate

Limits, Continuity & Differentiability · Limits of indeterminate forms

If lim⁡x→2sin⁡(x3−5x2+ax+b)(x−1−1)log⁡e(x−1)=m\displaystyle\lim_{x\to2}\frac{\sin\left(x^3 - 5x^2 + ax + b\right)}{\left(\sqrt{x-1} - 1\right)\log_e(x-1)} = m, then a+b+ma + b + m is equal to:
  1. (1)5
  2. (2)6
  3. (3)8
  4. (4)10

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