`f(x)={(2-2cos2x)/(x^2); xlt0k ; x=0(sqrt(x))/(sqrt(4)+sqrt(x)-2); x gt0`

If f(x) = {((1-cos 4x)/x^(2), x lt 0),(a, x =0),((sqrtx)/(sqrt(16+sqrt(x))-4), xgt 0):} then the value of a for which f(x) is continuous at x = 0 is

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

Let f(x) = {((1-cos 4x)/(x^(2))",",x lt 0),(a",",x = 0),((sqrt(x))/(sqrt(16+sqrt(x))-4))",",x gt 0):} Then, the value of a if possible, so that the function is continuous at x = 0, is……….

Let f(x) = {((1-cos 4x)/(x^(2))",",x lt 0),(a",",x = 0),((sqrt(x))/(sqrt(16+sqrt(x))-4)",",x gt 0):} Then, the value of a if possible, so that the function is continuous at x = 0, is……….

Let f(x) = {((1-cos 4x)/(x^(2))",",x lt 0),(a",",x = 0),((sqrt(x))/(sqrt(16+sqrt(x))-4))",", x gt 0):} Then, the value of a if possible, so that the function is continuous at x = 0, is……….

If f(x) is continuous at x=0 , where f(x)={:{((1-cos 4x)/(x^(2))", for " x lt 0),(k", for " x =0),((sqrt(x))/(sqrt(16+sqrt(x))-4)", for " x gt 0):} , then k=

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