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: CONCEPT CHECK Polynomial Approximation An elementary function is approximated by a polynomial. In... Problem 2E Problem 3E Problem 4E Problem 5E: Matching In Exercises 5-8, match the Taylor polynomial approximation of the function f(x)=ex2/2 with... Problem 6E Problem 7E Problem 8E Problem 9E: Finding a First-Degree Polynomial Approximation In Exercises 9-12, find a first- degree polynomial... Problem 10E: Finding a First-Degree Polynomial Approximation In Exercises 9-12, find a first- degree polynomial... Problem 11E Problem 12E: Finding a First-Degree Polynomial Approximation In Exercises 9-12, Find a first- degree polynomial... Problem 13E: Graphical and Numerical Analysis In Exercises 13 and 14, use a graphing utility to graph f and its... Problem 14E Problem 15E: Conjecture Consider the function f(x)=cosx and its Maclaurin polynomials P2, P4, and P6 (see Example... Problem 16E Problem 17E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 18E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 19E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 20E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 21E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 22E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 23E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 24E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 25E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 26E: Finding a Maclaurin Polynomial In Exercises 17-26, find the n th Maclaurin polynomial for the... Problem 27E: Finding a Taylor PolynomialIn Exercises 27-32, find the n th Taylor polynomial for the function,... Problem 28E: Finding a Taylor PolynomialIn Exercises 27-32, find the n th Taylor polynomial for the function,... Problem 29E: Finding a Taylor PolynomialIn Exercises 27-32, find the n th Taylor polynomial for the function,... Problem 30E: Finding a Taylor PolynomialIn Exercises 27-32, find the n th Taylor polynomial for the function,... Problem 31E: Finding a Taylor PolynomialIn Exercises 27-32, find the n th Taylor polynomial for the function,... Problem 32E Problem 33E Problem 34E Problem 35E: Numerical and Graphical Approximations (a) Use the Maclaurin polynomials P1(x),P3(x), and P5(x) for... Problem 36E Problem 37E Problem 38E Problem 39E: Approximating a Function Value In Exercises 39-44, approximate the function at the given value of x,... Problem 40E Problem 41E Problem 42E Problem 43E Problem 44E Problem 45E: Using Taylors Theorem In Exercises 45-50, use Taylors Theorem to obtain an upper bound for the error... Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E: Finding a Degree In Exercises 51-56, determine the degree of the Maclaurin polynomial required for... Problem 52E Problem 53E Problem 54E: Finding a Degree In Exercises 51-56, determine the degree of the Maclaurin polynomial required for... Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E: Finding Values In Exercises 59-62, determine the values of x for which the function can be replaced... Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E format_list_bulleted