Sec 11 7 Strategy for Testing Series Tests

  • Slides: 64
Download presentation
Sec 11. 7: Strategy for Testing Series Tests Special Series: 1) Test for Divergence

Sec 11. 7: Strategy for Testing Series Tests Special Series: 1) Test for Divergence 1) Geometric Series 2) Integral Test 2) Harmonic Series 3) Comparison Test 3) Telescoping Series 4) Limit Comparison Test 4) p-series 5) Ratio Test 6) Root Test 7) Alternating Series Test

Sec 11. 7: Strategy for Testing Series 1) Determine whether convg or divg 2)

Sec 11. 7: Strategy for Testing Series 1) Determine whether convg or divg 2) Find the sum s 5 -types 3) Estimate the sum s 5) Partial sums 4) How many terms are needed within error

Sec 11. 7: Strategy for Testing Series STRATEGY FOR TESTING SERIES p-series telescoping geometric

Sec 11. 7: Strategy for Testing Series STRATEGY FOR TESTING SERIES p-series telescoping geometric Alternating Similar to geom or p-series Test for Divergence Use Comparison or Limit Comparison Ratio Test Root Test easy to integrate Integral Test

Sec 11. 7: Strategy for Testing Series TERM-091

Sec 11. 7: Strategy for Testing Series TERM-091

Sec 11. 7: Strategy for Testing Series TERM-082

Sec 11. 7: Strategy for Testing Series TERM-082

Sec 11. 7: Strategy for Testing Series TERM-101

Sec 11. 7: Strategy for Testing Series TERM-101

Sec 11. 7: Strategy for Testing Series TERM-102

Sec 11. 7: Strategy for Testing Series TERM-102

Sec 11. 7: Strategy for Testing Series TERM-102 Remark: All terms are not positive

Sec 11. 7: Strategy for Testing Series TERM-102 Remark: All terms are not positive

Sec 11. 7: Strategy for Testing Series TERM-091

Sec 11. 7: Strategy for Testing Series TERM-091

Sec 11. 7: Strategy for Testing Series TERM-082

Sec 11. 7: Strategy for Testing Series TERM-082

Sec 11. 7: Strategy for Testing Series TERM-091

Sec 11. 7: Strategy for Testing Series TERM-091

Sec 11. 7: Strategy for Testing Series TERM-082

Sec 11. 7: Strategy for Testing Series TERM-082

Sec 11. 7: Strategy for Testing Series TERM-102

Sec 11. 7: Strategy for Testing Series TERM-102

Sec 11. 7: Strategy for Testing Series TERM-092

Sec 11. 7: Strategy for Testing Series TERM-092

Sec 11. 7: Strategy for Testing Series 1) Determine whether convg or divg 2)

Sec 11. 7: Strategy for Testing Series 1) Determine whether convg or divg 2) Find the sum s 5 -types 3) Estimate the sum s 5) Partial sums 4) How many terms are needed within error

2) Find the sum s DEF: Geometric Series: Given a seris nth-partial sums :

2) Find the sum s DEF: Geometric Series: Given a seris nth-partial sums : Telescoping Series: Convergent

5) Partial sums Geometric Series: Telescoping Series: DEF: Given a seris

5) Partial sums Geometric Series: Telescoping Series: DEF: Given a seris

Telescoping Series:

Telescoping Series:

Sec 5. 3: THE FUNDAMENTAL THEOREM OF CALCULUS, PART 1 Note:

Sec 5. 3: THE FUNDAMENTAL THEOREM OF CALCULUS, PART 1 Note:

Sec 7. 5: STRATEGY FOR INTEGRATION Integration Techniques Partial fraction susbsit Trig fns by

Sec 7. 5: STRATEGY FOR INTEGRATION Integration Techniques Partial fraction susbsit Trig fns by parts Trig subs rational sine&cos back 2 original

Quiz Material 1) Rieman sum 2) Ch 8 3) Improper Integral 4) Fud. Thm

Quiz Material 1) Rieman sum 2) Ch 8 3) Improper Integral 4) Fud. Thm of Calculus 5) Integration by parts 6) Volume of solid 7) Taylor series 1/x 8) Interval of convergence 9) Conditional convg + Abs. convg 1. Integration:

STRESS TESTS ANAEROBIC TESTS STRESS TESTS LABORATORY TESTSSTRESS TESTS ANAEROBIC TESTS STRESS TESTS LABORATORY TESTS
STRESS TESTS ANAEROBIC TESTS STRESS TESTS LABORATORY TESTSSTRESS TESTS ANAEROBIC TESTS STRESS TESTS LABORATORY TESTS
SUMMARY OF TESTS SUMMARY OF TESTS Series TestsSUMMARY OF TESTS SUMMARY OF TESTS Series Tests
SUMMARY OF TESTS SUMMARY OF TESTS Series TestsSUMMARY OF TESTS SUMMARY OF TESTS Series Tests
TESTING TESTING OUTLINE Plan Tests Design Tests WhiteTESTING TESTING OUTLINE Plan Tests Design Tests White
Sec 11 7 Strategy for Testing Series 1Sec 11 7 Strategy for Testing Series 1
Sec 11 7 Strategy for Testing Series 1Sec 11 7 Strategy for Testing Series 1
Storage Series Ridgeline Series Veranda Series Frontier SeriesStorage Series Ridgeline Series Veranda Series Frontier Series
1000 Series 2000 Series 3000 Series 4000 Series1000 Series 2000 Series 3000 Series 4000 Series
Loudspeakers SHS Strategy Series FS Series SHS SeriesLoudspeakers SHS Strategy Series FS Series SHS Series
Sec 4 1 THE TAYLOR SERIES Sec 4Sec 4 1 THE TAYLOR SERIES Sec 4
Sec 1 1 THE TAYLOR SERIES Sec 1Sec 1 1 THE TAYLOR SERIES Sec 1
SchoolBased Tests Readiness Tests Aptitude Tests capacity forSchoolBased Tests Readiness Tests Aptitude Tests capacity for
SchoolBased Tests Readiness Tests Aptitude Tests capacity forSchoolBased Tests Readiness Tests Aptitude Tests capacity for
Biochemical tests Tests To Know Case Study TestsBiochemical tests Tests To Know Case Study Tests
Chapter 6 Hypothesis tests Hypothesis tests Statistical testsChapter 6 Hypothesis tests Hypothesis tests Statistical tests
Tests simples Tests multiples et prvalence Les testsTests simples Tests multiples et prvalence Les tests
SchoolBased Tests Readiness Tests Aptitude Tests capacity forSchoolBased Tests Readiness Tests Aptitude Tests capacity for
Tests dhypothse 1 Tests de conformit 2 TestsTests dhypothse 1 Tests de conformit 2 Tests
SchoolBased Tests Readiness Tests Aptitude Tests capacity forSchoolBased Tests Readiness Tests Aptitude Tests capacity for
Nonparametric tests rankbased tests chisquare tests 1 ParametricNonparametric tests rankbased tests chisquare tests 1 Parametric
UNIT TESTING INTEGRATION TESTING AND SYSTEM TESTING TestingUNIT TESTING INTEGRATION TESTING AND SYSTEM TESTING Testing
International Strategy Multidomestic Strategy Global Strategy Transnational StrategyInternational Strategy Multidomestic Strategy Global Strategy Transnational Strategy
Content Strategy Content Strategy Content Strategy Content StrategyContent Strategy Content Strategy Content Strategy Content Strategy