5 Steps to a 5 AP Calculus BC 2019
42 STEP 3. Develop Strategies for Success 4.1 The Multiple-Choice Questions There are 45 multiple-choice questions for the AP C ...
How to Approach Each Question Type 43 When appropriate, represent the given information in calculus notations. For example, if ...
44 STEP 3. Develop Strategies for Success You maynotuse calculator syntax to substitute for calculus notations. For example, yo ...
How to Approach Each Question Type 45 Tips for Taking the Exam General Tips TIP • Write legibly. Label all diagrams. Organize y ...
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AP-Calculus-BC 2727-MA-Book May 11, 2018 14:10 STEP 4 Review the Knowledge You Need to Score High BIG IDEA 1: Limits CHAPTER 5 L ...
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CHAPTER 5 Big Idea 1: Limits Limits and Continuity IN THIS CHAPTER Summary:On the AP Calculus BC exam, you will be tested on you ...
50 STEP 4. Review the Knowledge You Need to Score High 5.1 The Limit of a Function Main Concepts:Definition and Properties of Li ...
Limits and Continuity 51 Example 2 Find the limit: limx→π 3 xsinx. Using the product rule, limx→π 3 xsinx= ( xlim→π^3 x )( xlim→ ...
52 STEP 4. Review the Knowledge You Need to Score High Example 6 Find the limit: limx→ 0 3 sin 2x 2 x . Entery 1 = 3 sin 2x 2 x ...
Limits and Continuity 53 Example 1 Givenf(x)= x^2 − 2 x− 3 x− 3 , find the limits: (a) limx→ 3 +f(x), (b) limx→ 3 −f(x), and (c) ...
54 STEP 4. Review the Knowledge You Need to Score High (b) Asxapproaches 1 from the left, the function stays at 0. Therefore, li ...
Limits and Continuity 55 Squeeze Theorem If f, g, andh are functions defined on some open interval containinga such that g(x)≤ f ...
56 STEP 4. Review the Knowledge You Need to Score High [–3,3] by [–3,3] Figure 5.1-8 Example 3 Find the limit if it exists: limy ...
Limits and Continuity 57 5.2 Limits Involving Infinities Main Concepts:Infinite Limits (asx→a), Limits at Infinity (asx →∞), Hor ...
58 STEP 4. Review the Knowledge You Need to Score High [–5,7] by [–40,20] Figure 5.2-1 Example 2 Find: limx→ 3 − x^2 x^2 − 9 . F ...
Limits and Continuity 59 Example 4 Find: limx→ 2 − [x]−x 2 −x , where [x] is the greatest integer value ofx. Asx→ 2 −,[x]=1. The ...
60 STEP 4. Review the Knowledge You Need to Score High Example 2 Evaluate the limit: limx→−∞ 3 x− 10 4 x^3 + 5 . Divide every te ...
Limits and Continuity 61 have limx→−∞ 2 x+ 1 √ x^2 + 3 = xlim→−∞ 2 x+ 1 √x x^2 + 3 x . Replacing the x below √ x^2 +3by(− √ x^2 ...
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