11. [-/6 Points] DETAILS Consider this function y = f(x) on the domain (-co, co). f ( x ) = x2 sin( >)+ 16 ifx # 0 16 if x = 0 (a) If x+ 0 , f '(x)= 2x sin x - 5 cos n X (b) Answer these multiple choice questions: lim f (x) (1) 2-+0 O Does not exist O 16 0 5 O -00 lim F(h)-f(0) = (2) h-+0 - h O Does not exist O 16 0 5 Oo O -00 (3) f' (0 ) = O Does not exist O 16 0 5 O -00 (4) f(x) is continuous for all x O True O False (5) f(x) is differentiable for all x O True O False Viewing Saved Work Revert to Last Response