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A function f(x) is defined as f(x)=\begincases1-\cos 4x/x^2 & ;x\lt0 \\ a & ;x=0 \\ \frac√[]x√[](16+√[]x)-4 & ;x\gt0\endcases if the function f(x) is continuous at x = 0, then the value of a is: | Watch the step-by-step video solution for this NIMCET PYQ.