[10 points] 1. True or false. why? (a) Ifa: is a real number, then = as? (b) If lf| is continuous at r1, so is f'? (C) lim :52 +62: 7 = lirnm_,1[x2 + 6:: 7) ? mai 3:2 +523 6 11m,_,1(3:2+53: 6) 2. Applying the limit laws introduced in Chap 15 and Chap 1.6, evaluate the following limits. Indicate for [20 points] every major step, which limit law allows you to do so? (a) 11111 {if+6\": I7-4 311:2 + 53: 2 Vac? 5 2 $43 :1: 3 3. Using the limit denition of the derivative of a function, compute the derivative of the function given by [10 points] x) := 8+1: 4. Compute the derivatives of the following functions using the differentiation rules and elementary deriva- [50 points] tives introduced in Chap 2.3, 2.4, 2.5. (a) NI) == 71" (b) 9(1') := 3327/3 + 6172/3 a: + 1 I22x3 (c) Mm) :=