托马斯微积分课件7.6 L27Hospital Rule.ppt

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1、Chapter7IntegrationTechniques,L’HospitalRule,andImproperIntegrals7.3PartialFractions7.1BasicIntegrationFormulas7.2IntegrationbyParts7.4TrigonometricSubstitutions7.5IntegralTables,CAS,andMonteCarloIntegration7.6L’HospitalRule7.7ImproperIntegrals7.6L’Hosp

2、italRule(洛必达法则)ConsiderthelimitwhereExample1.EvaluatethelimitSolution.Example2.EvaluatethelimitSolution.Example3.Evaluatetheone-sidedlimitSolution.ConsiderthelimitwhereExample4.EvaluatethelimitSolution.Example5.EvaluatethelimitSolution.Example6.Evaluate

3、thelimitSolution.Infact,wehaveConsiderthelimitwhereExample6.EvaluatethelimitSolution1.Example6.EvaluatethelimitSolution2.Example7.EvaluatethelimitSolution.ConsiderthelimitwhereorExample8.EvaluatethelimitSolution.Example9.EvaluatethelimitSolution.Conside

4、rthelimit1.2.3.Example10.EvaluatethelimitSolution.Example11.EvaluatethelimitSolution.Example12.EvaluatethelimitSolution.ExercisesP5845,6,16,19,20,21,22,24,25,27,31,36.