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MathsJEE Main 24 Jan 2026, Shift 1·Q1·MCQ·Moderate

Limits, Continuity & Differentiability · Limits using series expansion

If the function f(x)=ex(etan⁡x−x−1)+log⁡e(sec⁡x+tan⁡x)−xtan⁡x−xf(x) = \dfrac{e^x\left(e^{\tan x - x} - 1\right) + \log_e(\sec x + \tan x) - x}{\tan x - x} is Continuous at x=0x = 0, then the value of f(0)f(0) is equal to
  1. (1)2
  2. (2)23\dfrac23
  3. (3)12\dfrac12
  4. (4)32\dfrac32

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