f(x)={[(1-cos4x)/(x^(2))," if "x<0],[a," if "x=0],[(sqrt(x))/(sqrt(16+sqrt(x))-4)," if "x>0]

Let f(x)={[(1-cos4x)/(x^(2)), if x 0 continuous at x=0.

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

(i) Given f(x)={((1-cos4x)/(x^(2))" , "xne0),(k" , "x=0):} If f(x) is continuous at x=0, find the value of k. (ii) Given f(x)={((1-cos4x)/(8x^(2))" , "xne0),(k" , "x=0):} If f(x) is continuous at x=0, find the value of 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.

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.

Let f(x)={(1-cos4x)/(x^(2)),quad if x<0a,quad if x=0(sqrt(x))/(sqrt(16+sqrt(x))-4),quad if x Determine the value of a so that f(x) is continuous at x=0 .

Find A so that f(x) is continous at x=0 where f(x)={[(1-cos8x)/(4x^(2))," 4"x!=0],[" A ",x=0]}

Let f(x)={(1-cos4x)/(x^2),\ \ \ if\ x 0 Determine the value of a so that f(x) is continuous at x=0.