Find the values of `k` for which `f(x)={(1-cos4x)/(8x^2),\ \ \ w h e n\ x!=0k ,\ \ \ w h e n\ x=0` is continuous at `x=0` .

Let f(x)={(1-cosx)/(x^2),\ \ \ w h e n\ x!=0 ; 1,\ \ \ \ w h e n\ x=0 . Show that f(x) is discontinuous at x=0 .

Let f(x)=(1-cosx)/(x^2),\ \ \ w h e n\ x!=0,\ f(x)=1,\ \ \ w h e n\ x=0 . Show that f(x) is discontinuous at x=0 .

If f(x)={(sin3x)/x ,\ \ \ w h e n\ x!=0 1,\ \ \ w h e n\ x=0 . Find whether f(x) is continuous 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

Find the value of a for which f(x)={((1-cos4x)/(8x^2), "" xne0),(a, x=0 ""):} is continuous at x = 0

If f(x)=(sin3x)/x,w h e nx!=0, f(x)= 1,w h e n x=0 Find whether f(x) is continuous at x=0

If f(x)={(sin3x)/x,w h e nx!=0 1,w h e nx=0dot Find whether f(x) is continuous at x=0

The value of k for which f(x)= {((1-cos 2x )/(x^2 )", " x ne 0 ),(k ", "x=0):} continuous at x=0, is :

The value of k for which f(x)= {((1-cos 2x )/(x^2 )", " x ne 0 ),(k ", "x=0):} continuous at x=0, is :

(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.