Part (a) True or false: Let f(x) be a continuous function defined over the interval [a,b]. If z is any number between f(a) and f(b), then there exists a number c between a and b such that f(c)==. Part (b) True or false: For lim 6x³ 3-40 2x+1 -3x²). sin since lim 6x 2x+1 and lim (3x³) are 6.x 2x+1 Find lim xs if it exists. 14* Find lim (50)" if it exists. 140 Find lim cosx if it exists. THE EX if x23 if 2