Continuity of piecewise function (Jee Mains) | ExamDuo
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Continuity and Differentiability
Medium
Continuity of piecewise function
If
is continuous at x = 0, then a + b is equal to :
SELECT ONE OPTION
A
1
B
2
C
0
D
4
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![f(x) = \left\{ {\begin{array}{*{20}{c}} {\frac{{a|x| + {x^2} - 2(\sin |x|)(\cos |x|)}}{x}}&{,\,\,x \ne 0}\\[0.9em] b&{,\,\,x = 0} \end{array}} \right.](https://cdn.examduo.ai/jee/108435b7f4167540.webp)