5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book May 8, 2018 13:46 82 STEP 4. Review the Knowledge You Need to Score High Part B Calculators are permitted. Ente ...

MA 3972-MA-Book May 8, 2018 13:46 Review of Precalculus 83 There is one relative minimum point at (3,−27). Thus, the relative m ...

MA 3972-MA-Book May 7, 2018 9:52 CHAPTER 6 Big Idea 1: Limits Limits and Continuity IN THIS CHAPTER Summary:On the AP Calculus A ...

MA 3972-MA-Book May 7, 2018 9:52 Limits and Continuity 85 6.1 The Limit of a Function Main Concepts:Definition and Properties of ...

MA 3972-MA-Book May 7, 2018 9:52 86 STEP 4. Review the Knowledge You Need to Score High Example 2 Find the limit: limx→π 3 xsinx ...

MA 3972-MA-Book May 7, 2018 9:52 Limits and Continuity 87 Example 6 Find the limit: limx→ 0 3 sin 2x 2 x . Entery 1 = 3 sin 2x 2 ...

MA 3972-MA-Book May 7, 2018 9:52 88 STEP 4. Review the Knowledge You Need to Score High Example 1 Givenf(x)= x^2 − 2 x− 3 x− 3 , ...

MA 3972-MA-Book May 7, 2018 9:52 Limits and Continuity 89 (b) Asxapproaches 1 from the left, the function stays at 0. Therefore, ...

MA 3972-MA-Book May 7, 2018 9:52 90 STEP 4. Review the Knowledge You Need to Score High Squeeze Theorem If f, g, andh are functi ...

MA 3972-MA-Book May 7, 2018 9:52 Limits and Continuity 91 [−3, 3] by [−3, 3] Figure 6.1-8 Example 3 Find the limit if it exists: ...

MA 3972-MA-Book May 7, 2018 9:52 92 STEP 4. Review the Knowledge You Need to Score High 6.2 Limits Involving Infinities Main Con ...

MA 3972-MA-Book May 7, 2018 9:52 Limits and Continuity 93 [−5, 7] by [−40, 20] Figure 6.2-1 Example 2 Find: limx→ 3 − x^2 x^2 − ...

MA 3972-MA-Book May 7, 2018 9:52 94 STEP 4. Review the Knowledge You Need to Score High Example 4 Find: limx→ 2 − [x]−x 2 −x , w ...

MA 3972-MA-Book May 7, 2018 9:52 Limits and Continuity 95 Example 2 Evaluate the limit: limx→−∞ 3 x− 10 4 x^3 + 5 . Divide every ...

MA 3972-MA-Book May 7, 2018 9:52 96 STEP 4. Review the Knowledge You Need to Score High Replacing thexbelow √ x^2 +3 with (− √ x ...

MA 3972-MA-Book May 7, 2018 9:52 Limits and Continuity 97 To find the vertical asymptotes, look forxvalues such that the denomin ...

MA 3972-MA-Book May 7, 2018 9:52 98 STEP 4. Review the Knowledge You Need to Score High you notice that limx→ 0 +f(x)=∞, and lim ...

MA 3972-MA-Book May 7, 2018 9:52 Limits and Continuity 99 6.3 Continuity of a Function Main Concepts:Continuity of a Function at ...

MA 3972-MA-Book May 7, 2018 9:52 100 STEP 4. Review the Knowledge You Need to Score High Example 2 Determine the intervals on wh ...

MA 3972-MA-Book May 7, 2018 9:52 Limits and Continuity 101 [–3, 8] by [–4, 8] Figure 6.3-3 Example 5 Ifg(x)=x^2 − 2 x−15, using ...