" (iii) "f(x)={[(1-cos4x)/(8x^(2))" if "x!=0],[k,quad " if "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]}

Find the value of the constant k so that the function f , defined below, is continuous at x=0 , where f(x)={((1-cos4x)/(8x^2))k"if"x!="if"x=0

(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.

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

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

If f(x) is continuous at x=0 , where f(x)={:{((1-cos k x)/(x^(2))", for " x!=0),(1/2 ", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((1-cos k x)/(x^(2))", for " x!=0),(1/2 ", for " x=0):} , then k=

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

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=

Function f(x) = (1-cos 4x)//(8x^(2)), " where " x != 0 , and f(x) = k, where x = 0 , is a continuous function at x = 0 Then : k =