2 LIMITS

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Exploring Continuity3. Consider the function h (x) = [ x2 ](a) Sketch the graph of the function for −1 ≤ x ≤ 2.y10 1x(b) For what values of a, −1 ≤ a ≤ 2, is lim x→ah (x) = h (a)?(c) Compute limx→0[ x2 ] and limx→2[ x2 ] , if they exist. Explain your answers.74
Exploring Continuity4. We know that the function g (x) = x 2 is continuous everywhere.(a) Show that if f is continuous everywhere, then h (x) = f (x) 2 is continuous everywhere, using a limitargument.(b) Is it true or false that if h (x) = f (x) 2 is continuous everywhere, then f is continuous everywhere?If it is true, prove it. If it is false, give a counterexample.75
Page 1 and 2: 2 LIMITS2.1 THE TANGENT AND VELOCIT
Page 3: SECTION 2.1THE TANGENT AND VELOCITY
Page 8 and 9: 2.2 THE LIMIT OF A FUNCTIONSUGGESTE
Page 10 and 11: CHAPTER 2LIMITSGROUP WORK 2: The Sh
Page 12 and 13: CHAPTER 2LIMITS3. Answers will vary
Page 14 and 15: GROUP WORK 2, SECTION 2.2The Shape
Page 16 and 17: GROUP WORK 2, SECTION 2.2The Shape
Page 18 and 19: 2.3 CALCULATING LIMITS USING THE LI
Page 20 and 21: CHAPTER 2LIMITSGROUP WORK 3: The Sq
Page 22 and 23: GROUP WORK 2, SECTION 2.3Fixing a H
Page 24 and 25: 2.4 THE PRECISE DEFINITION OF A LIM
Page 26 and 27: CHAPTER 2LIMITSGROUP WORK 2: The Di
Page 28 and 29: GROUP WORK 1, SECTION 2.4A ‘‘Ji
Page 30 and 31: GROUP WORK 2, SECTION 2.4The Dire W
Page 32 and 33: Consider the following functions:GR
Page 34 and 35: GROUP WORK 4, SECTION 2.4The Signif
Page 36 and 37: CHAPTER 2LIMITS• Start by stating
Page 38 and 39: CHAPTER 2LIMITSGROUP WORK 3: The Tw
Page 42 and 43: The following are graphs of y = f (
Page 44 and 45: GROUP WORK 4, SECTION 2.5Swimming t
Page 46 and 47: CHAPTER 2LIMITS3. Find the vertical
Page 48 and 49: CHAPTER 2LIMITS7. Let⎧ √⎨ 3
Page 50: CHAPTER 2LIMITS6. (a) L = 0√0.01(

2 LIMITS

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