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Given that , f(x)={{:((1-cos4x)/(x^(2)),...

Given that , `f(x)={{:((1-cos4x)/(x^(2)),"if "xlt0),(" a ","if "x=0),((sqrt(x))/(sqrt(16+sqrt(x))-4),"if "xgt0):}`
If f (x) is continuous at x= 0 , find the value of a

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The correct Answer is:
Therefore , the required value of a is 8 .
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