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Let \(f(x) = \begincases \cos [x], & x\geq 0\\ |x| + a, & x< 0 \endcases\) where \([x]\) denotes the greatest integer \(\leq x\). If f should be continuous at \(x = 0\) then a must be: | Watch the step-by-step video solution for this NIMCET PYQ.