If `f'(2^(+))=0` and `f'(2^(-))=0`, then is `f(x)` continues at `x=2` ?

If f(0) = f'(0) = 0 and f''(x) = tan^(2)x then f(x) is

If f(x) = (x-e^(x) + cos 2x)/(x^(2)), x ne 0 is continuous at x = 0, then

If f(x)=(sin^(- 1)x)^2*cos(1/ x)"if"x!=0;f(0)=0,f(x) is continuous at x= 0 or not ?

If f(x)=x-2, x le 0 and 4-x^2,x > 0, then discuss the continuity of y=f(f(x)).

The value of the function f at x=0 so that the function f(x)=(2^(x)-2^(-x))/(x), x ne0 , is continuous at x=0 , is

Show that the function f(x)=2x-|x| is continuous at x=0 .

Given that f(x) = xg (x)//|x| g(0) = g'(0)=0 and f(x) is continuous at x=0 then the value of f'(0)

If f''(x) = sec^(2) x and f (0) = f '(0) = 0 then:

Show that the function f(x)=2x-|x| is continuous at x=0.

If f(x)=(4+sin2x+a sinx+Bcosx)/(x^(2)) for x!=0 is continuous at x=0 , then A+B+f(0) is