Show that the function `f(x)=[cos(x^(10)+1)]^(1//3), x in R` is continuous function.

The function f(x)=x^(1//3)(x-1)

Show that the function f(x)=(x)/(1+e^(1//x),x ne 0, f(0)= 0 is continuous at x = 0

Show that the function f(x) = x cos (1//x), x ne 0 f(0) = 1 is discontinuous at x = 0.

Show that the function f(x) =x sub (1)/(x) , x ne 0 f(0) =0 is continuous at x = 0

Show that the function f (x) = x ^(p) sin ((1)/(x)) x , ne 0, f (0) =0 is continuous but not differentiable at x=0 if 0 lt p le 1.

Show that the function defined by f(x)= cos (x^2) is a continuous function.

The value of f(00) so that the function f(x)=(2x-Sin^(-1)x)/(2x+Tan^(-1)x) is continuous at x=0, is

Show that the function defined by f(x)= sin (x^2) is a continuous function.