2] Let f be continuous on [01, b], differentiable on (a, b) and positive (i.e., > D) for fit?) _ 1 1 m + @- (Hint: consider the function F (3:) = (:1: a) (:1: b) f (3:) and use MVT for F (3:) to show the existence of such C E (a, b).) all a: E (a, b). Prove that there exists c E (a, 6) such that 3] Use L'Hopital's Rule to evaluate and check your answers numerically: 1 (a) 11111 ($111 :12) $2 m>D+ :1: 1 1 (b) lim 3?\" sin2 a: $2