![]() ![]() ![]() Sincecos−1(x)iscontinuousforallx,Theorem4tellsusthat Whichisageometricsequencewith00,Theorem4tellsusthat (c) Recallthatif|an|convergesto0,thenanmustalsoconvergetozero.Here, (b) Thissequencedoesnotconvergetozero:thisisageometricsequencewithr =2>1 hence,thesequencediverges Whichofthefollowingsequencesconvergetozero? Solution Substitutingn=4intheexpressionforangivesĢ. (LTSection13.7) 230 16.3 ConservativeVectorFields (LTSection17.3) 599ĬhapterReviewExercises 240 16.4 ParametrizedSurfacesandSurfaceIntegralsġ3.1 Vector-ValuedFunctions (LTSection14.1) 250ġ3.2 CalculusofVector-ValuedFunctions Chapter 17 FUNDAMENTAL THEOREMS OFġ3.3 ArcLengthandSpeed (LTSection14.3) 273 (LT Chapter 18) 649ġ3.5 MotioninThree-Space (LTSection14.5) 303 17.1 Green’sTheorem (LTSection18.1) 649ġ3.6 PlanetaryMotionAccordingtoKeplerandNewton 17.2 Stokes’Theorem (LTSection18.2) 665 (LTSection13.3) 184 Chapter 16 LINE AND SURFACE INTEGRALSġ2.4 TheCrossProduct (LTSection13.4) 198 (LT Chapter 17) 576ġ2.5 PlanesinThree-Space (LTSection13.5) 212ġ2.6 ASurveyofQuadricSurfaces (LTSection13.6) 223 16.1 VectorFields (LTSection17.1) 576ġ2.7 CylindricalandSphericalCoordinates 16.2 LineIntegrals (LTSection17.2) 581 ![]() ![]() (LT Chapter 13) 166 15.5 ApplicationsofMultipleIntegralsġ2.1 VectorsinthePlane (LTSection13.1) 166 15.6 ChangeofVariables (LTSection16.6) 537ġ2.2 VectorsinThreeDimensions (LTSection13.2) 176 ChapterReviewExercises 554ġ2.3 DotProductandtheAnglebetweenTwoVectors (LT Chapter 12) 96 ChapterReviewExercises 442ġ1.1 ParametricEquations (LTSection12.1) 96ġ1.2 ArcLengthandSpeed (LTSection12.2) 112ġ1.3 PolarCoordinates (LTSection12.3) 120ġ5.1 IntegrationinTwoVariables (LTSection16.1) 458ġ5.2 DoubleIntegralsoverMoreGeneralRegionsġ5.4 IntegrationinPolar,Cylindrical,andSphericalĬhapter 12 VECTOR GEOMETRY Coordinates (LTSection16.4) 502 (LTSection11.4) 38 14.3 PartialDerivatives (LTSection15.3) 351ġ0.5 TheRatioandRootTests (LTSection11.5) 44 14.4 DifferentiabilityandTangentPlanesġ0.6 PowerSeries (LTSection11.6) 52 (LTSection15.4) 363ġ0.7 TaylorSeries (LTSection11.7) 64 14.5 TheGradientandDirectionalDerivativesĬhapterReviewExercises 81 (LTSection15.5) 374ġ4.8 LagrangeMultipliers:OptimizingwithaConstraint (LTSection11.3) 23 14.2 LimitsandContinuityinSeveralVariablesġ0.4 AbsoluteandConditionalConvergence (LTSection15.2) 345 Removed Tts_version 4.W.H.FreemanandCompany,41MadisonAvenue,NewYork,NY10010Ĭhapter 10 INFINITE SERIES (LT Chapter 11) 1 Chapter 14 DIFFERENTIATION IN SEVERALġ0.2 SumminganInfiniteSeries (LTSection11.2) 13 14.1 FunctionsofTwoorMoreVariablesġ0.3 ConvergenceofSerieswithPositiveTerms (LTSection15.1) 336 OL17333646W Page_number_confidence 79.75 Pages 590 Pdf_module_version 0.0.18 Ppi 360 Rcs_key 24143 Republisher_date 20220203233727 Republisher_operator Republisher_time 756 Scandate 20220131055836 Scanner Scanningcenter cebu Scribe3_search_catalog isbn Scribe3_search_id 9781464171758 Source Access-restricted-item true Addeddate 23:06:38 Bookplateleaf 0002 Boxid IA40342122 Camera USB PTP Class Camera Collection_set printdisabled External-identifier ![]()
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