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

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

For what value of k the following function is continuous at x=0 ? f(x)={{:((1-cos4x)/(8x^(2))", "x!=0),(k", "x=0):}

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……….

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

For what values of constant K, the following functions are continuous the indicated points. f(x)={{:(,(1-cos 4x)/(x^(2)), x lt 0),(,K,x=0),(,sqrt(x)+8,x gt 0):}" at x =0"

Find the values of k for which f(x)={(1-cos4x)/(8x^(2)),quad when x!=0k,quad when x=0 is continuous at x=0

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.