If f(x)={ (a|x|+x²−2sin|x|cos|x|)/x... | Continuity | JEE Main 2026

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JEE MAIN 2026

23-01-2026 S2

Question

If $f(x)=\left\{\begin{array}{cc}\frac{a|x|+x^2-2(\sin |x|)(\cos |x|)}{x} & , x \neq 0 \\ b & , x=0\end{array}\right.$ is continuous at $x=0$, then $a+b$ is equal to

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