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MathsJEE Main 22 Jan 2026, Shift 2·Q5·MCQ·Moderate

Limits, Continuity & Differentiability · Limits using series expansion

If lim⁡x→0e(a−1)x+2cos⁡bx+(c−2)e−xxcos⁡x−log⁡e(1+x)=2\displaystyle\lim_{x\to0}\frac{e^{(a-1)x} + 2\cos bx + (c-2)e^{-x}}{x\cos x - \log_e(1+x)} = 2, then a2+b2+c2a^2 + b^2 + c^2 is equal to:
  1. (1)5
  2. (2)3
  3. (3)7
  4. (4)9

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