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MathsJEE Main 23 Jan 2026, Shift 2·Q1·MCQ·Easy–moderate

Limits, Continuity & Differentiability · Continuity at a point

If f(x)={a∣x∣+x2−2(sin⁡∣x∣)(cos⁡∣x∣)x,x≠0b,x=0f(x) = \begin{cases} \dfrac{a\lvert x\rvert + x^2 - 2(\sin\lvert x\rvert)(\cos\lvert x\rvert)}{x}, & x \neq 0\\[2mm] b, & x = 0\end{cases} is continuous at x=0x = 0, then a+ba + b is equal to:
  1. (1)1
  2. (2)2
  3. (3)0
  4. (4)4

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