DIRECT AND LIMIT COMPARISON TEST Section 9 4

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DIRECT AND LIMIT COMPARISON TEST Section 9. 4 Calculus BC AP/Dual, Revised © 2018

DIRECT AND LIMIT COMPARISON TEST Section 9. 4 Calculus BC AP/Dual, Revised © 2018 viet. dang@humbleisd. net 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 1

SUMMARY OF TESTS FOR SERIES 12/25/2021 8: 20 PM § 9. 4: Direct and

SUMMARY OF TESTS FOR SERIES 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 2

ANALOGY: SCENARIO 1 Anna 12/25/2021 8: 20 PM Brian § 9. 4: Direct and

ANALOGY: SCENARIO 1 Anna 12/25/2021 8: 20 PM Brian § 9. 4: Direct and Limit Comparison Tests 3

ANALOGY: SCENARIO 2 Anna 12/25/2021 8: 20 PM Brian § 9. 4: Direct and

ANALOGY: SCENARIO 2 Anna 12/25/2021 8: 20 PM Brian § 9. 4: Direct and Limit Comparison Tests 4

ANALOGY: SCENARIO 3 Anna 12/25/2021 8: 20 PM Brian § 9. 4: Direct and

ANALOGY: SCENARIO 3 Anna 12/25/2021 8: 20 PM Brian § 9. 4: Direct and Limit Comparison Tests 5

ANALOGY Anna 12/25/2021 8: 20 PM Brian § 9. 4: Direct and Limit Comparison

ANALOGY Anna 12/25/2021 8: 20 PM Brian § 9. 4: Direct and Limit Comparison Tests 6

ANALOGY 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 7

ANALOGY 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 7

DIRECT COMPARISON TEST 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison

DIRECT COMPARISON TEST 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 8

DIRECT COMPARISON TEST 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison

DIRECT COMPARISON TEST 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 9

DIRECT COMPARISON TEST 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison

DIRECT COMPARISON TEST 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 10

STEPS FOR DIRECT COMPARISON TEST 12/25/2021 8: 20 PM § 9. 4: Direct and

STEPS FOR DIRECT COMPARISON TEST 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 11

EXAMPLE 1 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 1 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 12

EXAMPLE 1 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 1 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 13

EXAMPLE 1 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 1 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 14

EXAMPLE 2 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 2 12/25/2021 8: 20 PM § 9. 4: Direct and Limit Comparison Tests 15

EXAMPLE 2 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 2 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 16

EXAMPLE 2 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 2 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 17

YOUR TURN 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

YOUR TURN 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 18

YOUR TURN 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

YOUR TURN 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 19

EXAMPLE 3 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 3 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 20

EXAMPLE 3 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 3 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 21

EXAMPLE 3 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 3 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 22

EXAMPLE 4 Harmonic series 12/25/2021 8: 21 PM § 9. 4: Direct and Limit

EXAMPLE 4 Harmonic series 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 23

YOUR TURN 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

YOUR TURN 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 24

YOUR TURN 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

YOUR TURN 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 25

YOUR TURN 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

YOUR TURN 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 26

REVIEW EXAMPLE 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

REVIEW EXAMPLE 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 27

REVIEW EXAMPLE 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

REVIEW EXAMPLE 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 28

LIMIT COMPARISON TEST 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison

LIMIT COMPARISON TEST 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 29

STEPS FOR LIMIT COMPARISON TEST 12/25/2021 8: 21 PM § 9. 4: Direct and

STEPS FOR LIMIT COMPARISON TEST 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 30

EXAMPLE 4 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 4 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 31

EXAMPLE 4 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 4 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 32

EXAMPLE 4 The answer is positive and finite. 12/25/2021 8: 21 PM § 9.

EXAMPLE 4 The answer is positive and finite. 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 33

EXAMPLE 5 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 5 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 34

EXAMPLE 5 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 5 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 35

EXAMPLE 5 Solve using L’Hospital’s Rule 12/25/2021 8: 21 PM § 9. 4: Direct

EXAMPLE 5 Solve using L’Hospital’s Rule 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests The answer is positive and finite. 36

EXAMPLE 6 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 6 12/25/2021 8: 21 PM § 9. 4: Direct and Limit Comparison Tests 37

EXAMPLE 6 12/25/2021 8: 22 PM § 9. 4: Direct and Limit Comparison Tests

EXAMPLE 6 12/25/2021 8: 22 PM § 9. 4: Direct and Limit Comparison Tests 38

EXAMPLE 6 The answer is positive and finite. 12/25/2021 8: 22 PM § 9.

EXAMPLE 6 The answer is positive and finite. 12/25/2021 8: 22 PM § 9. 4: Direct and Limit Comparison Tests 39

YOUR TURN 12/25/2021 8: 22 PM § 9. 4: Direct and Limit Comparison Tests

YOUR TURN 12/25/2021 8: 22 PM § 9. 4: Direct and Limit Comparison Tests 40

YOUR TURN 12/25/2021 8: 22 PM § 9. 4: Direct and Limit Comparison Tests

YOUR TURN 12/25/2021 8: 22 PM § 9. 4: Direct and Limit Comparison Tests 41

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) 12/25/2021 8: 22 PM § 9. 4:

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) 12/25/2021 8: 22 PM § 9. 4: Direct and Limit Comparison Tests 42

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) Vocabulary 12/25/2021 8: 22 PM Connections and

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) Vocabulary 12/25/2021 8: 22 PM Connections and Process § 9. 4: Direct and Limit Comparison Tests Answer 43

AP MULTIPLE CHOICE PRACTICE QUESTION 2 (NON-CALCULATOR) 12/25/2021 8: 22 PM § 9. 4:

AP MULTIPLE CHOICE PRACTICE QUESTION 2 (NON-CALCULATOR) 12/25/2021 8: 22 PM § 9. 4: Direct and Limit Comparison Tests 44

AP MULTIPLE CHOICE PRACTICE QUESTION 2 (NON-CALCULATOR) Vocabulary 12/25/2021 8: 22 PM Connections and

AP MULTIPLE CHOICE PRACTICE QUESTION 2 (NON-CALCULATOR) Vocabulary 12/25/2021 8: 22 PM Connections and Process § 9. 4: Direct and Limit Comparison Tests Answer 45

ASSIGNMENT Page 616 3 -23 odd, 23 -30 all, 33 -41 odd 12/25/2021 8:

ASSIGNMENT Page 616 3 -23 odd, 23 -30 all, 33 -41 odd 12/25/2021 8: 22 PM § 9. 4: Direct and Limit Comparison Tests 46

Direct comparison Test and Limit Comparison Test DirectDirect comparison Test and Limit Comparison Test Direct
LIMIT FUNGSI ALJABAR Limit fungsi aljabar LIMIT FUNGSILIMIT FUNGSI ALJABAR Limit fungsi aljabar LIMIT FUNGSI
Limit Sets Limit Sets Defined Limit Sets groupsLimit Sets Limit Sets Defined Limit Sets groups
LIMIT FUNGSI LIMIT FUNGSI PENGERTIAN LIMIT Perhatikan fungsiLIMIT FUNGSI LIMIT FUNGSI PENGERTIAN LIMIT Perhatikan fungsi
Limit MATHEMATICS LIMIT CRASH COURSE Limit of aLimit MATHEMATICS LIMIT CRASH COURSE Limit of a
limit Limit f limit f 0limit f xlimit Limit f limit f 0limit f x
SECTION 4 1 LIMIT GAUGE 1 Limit PlugSECTION 4 1 LIMIT GAUGE 1 Limit Plug
Limit Pricing and Entry Deterrence Chapter 12 LimitLimit Pricing and Entry Deterrence Chapter 12 Limit
Limit Pricing and Entry Deterrence Chapter 12 LimitLimit Pricing and Entry Deterrence Chapter 12 Limit
LIMIT CYCLE OSCILLATION AND NOISE POWER SPECTRUM LimitLIMIT CYCLE OSCILLATION AND NOISE POWER SPECTRUM Limit
Central Limit Theorem The central limit theorem andCentral Limit Theorem The central limit theorem and
Limit Pricing and Entry Deterrence Chapter 12 LimitLimit Pricing and Entry Deterrence Chapter 12 Limit
3 LIMIT AND CONTINUITY NPD 3 1 Limit3 LIMIT AND CONTINUITY NPD 3 1 Limit
Sec 2 2 Limit of Function and LimitSec 2 2 Limit of Function and Limit
ZENIT PRO DIRECT AND DIRECT INJECTION TECHNOLOGY DirectZENIT PRO DIRECT AND DIRECT INJECTION TECHNOLOGY Direct
ZENIT PRO DIRECT AND DIRECT INJECTION TECHNOLOGY DirectZENIT PRO DIRECT AND DIRECT INJECTION TECHNOLOGY Direct
COMPARISON AND CONTRAST COMPARISON CONTRAST Comparison points outCOMPARISON AND CONTRAST COMPARISON CONTRAST Comparison points out
Limit Fungsi Trigonometri dan Kekontinuan Limit Fungsi TrigonometriLimit Fungsi Trigonometri dan Kekontinuan Limit Fungsi Trigonometri
Media Pembelajaran Matematika Pokok Bahasan LIMIT FUNGSI LimitMedia Pembelajaran Matematika Pokok Bahasan LIMIT FUNGSI Limit
LIMIT DAN KEKONTINUAN 1 3 1 Limit FungsiLIMIT DAN KEKONTINUAN 1 3 1 Limit Fungsi
PERTEMUAN KE6 LIMIT FUNGSI APA ITU LIMIT ArtiPERTEMUAN KE6 LIMIT FUNGSI APA ITU LIMIT Arti
LIMIT DAN KEKONTINUAN 2 3 1 Limit FungsiLIMIT DAN KEKONTINUAN 2 3 1 Limit Fungsi
LIMIT FUNGSI APA ITU LIMIT Arti kata batasLIMIT FUNGSI APA ITU LIMIT Arti kata batas
3 LIMIT DAN KEKONTINUAN 1 3 1 Limit3 LIMIT DAN KEKONTINUAN 1 3 1 Limit