f(x)={[x cos(1)/(x),,x!=0],[0,,x=0]

The value of c in Lagrange's theorem for the function f(x)={x cos((1)/(x)),x!=0 and 0,x=0 in the interval [-1,1] is

If the function f(x)={[(cos x)^((1)/(x)),x!=0k,x=0k,x=0]} is continuos at x=0 then the value of k]}

If f(x)={x^(a)cos(1/x),x!=0 and 0, x=0 is differentiable at x=0 then the range of a is

Show that the function f(x) defined as f(x)=cos((1)/(x)),x!=0;0,x=0 is continuous at x=0 but not differentiable at x=0..

If f(x)={[(cos x)^((1)/(sin x)),,x!=0],[K,,x=0]} is differentiable at x=0 Then K=

f(x)={x^(2)cos((1)/(x)),x<0 and 0,x=0 and x^(2)sin((1)/(x)),x<0 then which of the following is (are) correct?

Discuss the continuity of f(x)={|x|cos(1/x),\ \ \ x!=0 0,\ \ \ \ x=0 at x=0

Examine the following functions for continuity: f(x) = {:{(x cos (1/x), x ne 0),(0, x = 0):} at x = 0

Examine the continuity of a function f(x)={{:(|x|"cos"(1)/(x)", if "x!=0),(0", if "x=0):} at x=0 .

If f ( x) ={(x^(p) cos((1)/(x)),x cancel=0,(0,x=0):} is differentiable at x=0, then