5. Background Story: In class, we learned that f(x) = x sin if x * 0 is continuous, by the if x = 0 Squeeze Theorem, but not differentiable at x = 0. y = I y = r sin(=) y = -|x] In this work, we consider the function g(x) = 22 sin (!) if x * 0 if x = 0 y = x2 sin() Questions: (A) Form the quotient g(2) - 9(0) x - 0 for x * 0 and simplify. (B) Find the lim 9(2) - g(0) 1-+0 x - 0 . (Hint: You will need to use the Squeeze Theorem. Is this limit "the limit definition of the derivative"? At what point?) (C) Is g differentiable at x = 0? If yes, what is g'(0)? Click: https://ggbm.at/quzevdeg for a visual explanation. Video: https://www.youtube.com/watch?v=3zc2k-ee8UE