1 Preparation For Calculus 2 Limits And Their Properties 3 Differentiation 4 Applications Of Differentiation 5 Integration 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
9.1 Sequences 9.2 Series And Convergence 9.3 The Integral Test And P-series 9.4 Comparisons Of Series 9.5 Alternating Series 9.6 The Ratio And Root Tests 9.7 Taylor Polynomials And Approximations 9.8 Power Series 9.9 Representation Of Functions By Power Series 9.10 Taylor And Maclaurin Series Chapter Questions expand_more
Problem 1E: Representing a Function Explain how a Maclaurin polynomial and a power series centered at 0 for a... Problem 2E: Domain What does the domain of f(x)=n=0an(xc)n represent? Problem 3E: Radius of Convergence Determine the radius of convergence for the power series n=0an(x2)n given the... Problem 4E: Properties of Functions Defined by Power Series In your own words, describe how a function defined... Problem 5E: Finding the Center of a Power Series In Exercises 5-8, state where the power series is centered.... Problem 6E: Finding the Center of a Power Series In Exercises 5-8, state where the power series is centered.... Problem 7E: Finding the Center of a Power Series In Exercises 5-8, state where the power series is centered.... Problem 8E: Finding the Center of a Power Series In Exercises 5-8, state where the power series is centered.... Problem 9E: Finding the Radius of Convergence In Exercises 9-14, find the radius of convergence of the power... Problem 10E: Finding the Radius of Convergence In Exercises 9-14, find the radius of convergence of the power... Problem 11E: Finding the Radius of Convergence In Exercises 9-14, find the radius of convergence of the power... Problem 12E: Finding the Radius of Convergence In Exercises 9-14, find the radius of convergence of the power... Problem 13E: Finding the Radius of Convergence In Exercises 9-14. find the radius of convergence of the power... Problem 14E: Finding the Radius of Convergence In Exercises 9-14. find the radius of convergence of the power... Problem 15E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 16E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 17E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 18E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 19E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 20E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 21E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 22E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 23E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 24E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 25E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 26E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 27E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 28E Problem 29E Problem 30E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 31E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 37E: Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the... Problem 38E Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E: Finding the Interval of Convergence In Exercises 41-44, find the interval of convergence or the... Problem 44E Problem 45E: Writing an Equivalent Series In Exercises 45-48, write an equivalent series with the index of... Problem 46E: Writing an Equivalent Series In Exercises 45-48, write an equivalent series with the index of... Problem 47E Problem 48E: Writing an Equivalent Series In Exercises 45-48, write an equivalent series with the index of... Problem 49E: Finding Intervals of Convergence In Exercises 49-52, find the intervals of convergence of (a). f(x)... Problem 50E Problem 51E: Finding Intervals of Convergence In Exercises 49-52, find the intervals of convergence of (a). f(x)... Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E: Bessel FunctionThe Bessel function of order 0 is J0(x)=k=0(1)kx2k22k(k!)2 (a) Show that the series... Problem 66E Problem 67E Problem 68E Problem 69E: Identifying a Function In Exercises 69-72, the series represents a well-known function. Use a... Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E: True or False? In Exercises 73-76, determine whether the statement is true or false. If it is false,... Problem 75E Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E format_list_bulleted