Math Calculus

Let f() be a function defined for all a ( R and such that lim f (a) - - 2. Evaluate the following limit: f(x) sin(8x) lim What does it imply for the function f(1) sin (82) g(x) = for a 0. O g(x) is differentiable at x=0 O g(x) is continuous at x=0 O g(x) is not differentiable at x=0 O g(x) is not continuous at x=0