 9.4.1E: Explain the strategy presented in this section for evaluating a lim...
 9.4.2E: Explain the method presented in this section for evaluating , where...
 9.4.3E: How would you approximate e?0.6 using the Taylor series for ex?
 9.4.4E: Suggest a Taylor series and a method for approximating ?.
 9.4.5E: If and the series converges for x<b. what is the power series for...
 9.4.6E: What condition must be met by a function f for it to have a Taylor ...
 9.4.7E: Limits Evaluate the following limits using Taylor series.
 9.4.8E: Limits Evaluate the following limits using Taylor series.
 9.4.9E: Limits Evaluate the following limits using Taylor series.
 9.4.10E: Limits Evaluate the following limits using Taylor series. 1.png
 9.4.11E: Limits Evaluate the following limits using Taylor series.
 9.4.12E: Limits Evaluate the following limits using Taylor series.
 9.4.13E: Limits Evaluate the following limits using Taylor series.
 9.4.14E: Limits Evaluate the following limits using Taylor series.
 9.4.15E: Limits Evaluate the following limits using Taylor series.
 9.4.16E: Limits Evaluate the following limits using Taylor series.
 9.4.17E: Limits Evaluate the following limits using Taylor series.
 9.4.18E: Limits Evaluate the following limits using Taylor series.
 9.4.19E: Limits Evaluate the following limits using Taylor series.
 9.4.20E: Limits Evaluate the following limits using Taylor series.
 9.4.21E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.22E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.23E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.24E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.25E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.26E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.27E: Differential equationsa. Find a power series for the solution of th...
 9.4.28E: Differential equationsa. Find a power series for the solution of th...
 9.4.29E: Differential equationsa. Find a power series for the solution of th...
 9.4.30E: Differential equationsa. Find a power series for the solution of th...
 9.4.31E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.32E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.33E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.34E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.35E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.36E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.37E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.38E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.39E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.40E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.41E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.42E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.43E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.44E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.45E: Evaluating an infinite series Let . Use the Taylor series for f abo...
 9.4.46E: Evaluating an infinite series Let f(x)= (cx ? 1 )/x for x ? 0 and f...
 9.4.47E: Evaluating an infinite series Write the Taylor series for f(x) = 1n...
 9.4.48E: Evaluating an infinite series Write the Taylor series for f(a) = 1n...
 9.4.49E: Representing functions by power series Identify the functions repre...
 9.4.50E: Representing functions by power series Identify the functions repre...
 9.4.51E: Representing functions by power series Identify the functions repre...
 9.4.52E: Representing functions by power series Identify the functions repre...
 9.4.53E: Representing functions by power series Identify the functions repre...
 9.4.54E: Representing functions by power series Identify the functions repre...
 9.4.55E: Representing functions by power series Identify the functions repre...
 9.4.56E: Representing functions by power series Identify the functions repre...
 9.4.57E: Representing functions by power series Identify the functions repre...
 9.4.58E: Representing functions by power series Identify the functions repre...
 9.4.59E: Explain why or why not Determine whether the following statements a...
 9.4.60E: Limits with a parameter Use Taylor series to evaluate the following...
 9.4.61E: Limits with a parameter Use Taylor series to evaluate the following...
 9.4.62E: Limits with a parameter Use Taylor series to evaluate the following...
 9.4.63E: A limit by Taylor series Use Taylor series to evaluate .
 9.4.64E: Inverse hyperbolic sine A function known as the inverse of the hype...
 9.4.65E: Derivative trick Here is an alternative way to evaluate higher deri...
 9.4.66E: Derivative trick Here is an alternative way to evaluate higher deri...
 9.4.67E: Derivative trick Here is an alternative way to evaluate higher deri...
 9.4.68E: Derivative trick Here is an alternative way to evaluate higher deri...
 9.4.69E: Probability: tossing for a head The expected (average) number of to...
 9.4.70E: Probability: sudden death playoff Teams A and B go into sudden deat...
 9.4.71E: Elliptic integrals The period of a pendulum is given by where ? is ...
 9.4.72E: Sine integral function The function is called the sine integral fun...
 9.4.73E: Fresnel integrals The theory of optics gives rise to the two Fresne...
 9.4.74E: Error function An essential function in statistics and the study of...
 9.4.75E: Bessel functions Bessel functions arise in the study of wave propag...
 9.4.76AE: Power series for sec.v Use the identity sec and long cos xdivision ...
 9.4.77AE: Symmetrya. Use infinite series to show that cos x is an even functi...
 9.4.78AE: Behavior of csc.v We know that . Use long division to determine exa...
 9.4.79AE: L'Hôpital's Rule by Taylor series Suppose f and g have Taylor serie...
 9.4.80AE: Newton's derivation of the sine and an sine series Newton discovere...
Solutions for Chapter 9.4: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 9.4
Get Full SolutionsSince 80 problems in chapter 9.4 have been answered, more than 83322 students have viewed full stepbystep solutions from this chapter. Chapter 9.4 includes 80 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

Base
See Exponential function, Logarithmic function, nth power of a.

Components of a vector
See Component form of a vector.

Cube root
nth root, where n = 3 (see Principal nth root),

Doubleangle identity
An identity involving a trigonometric function of 2u

End behavior asymptote of a rational function
A polynomial that the function approaches as.

Horizontal component
See Component form of a vector.

Horizontal line
y = b.

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Logarithmic form
An equation written with logarithms instead of exponents

Multiplicative identity for matrices
See Identity matrix

nth root
See Principal nth root

Partial fraction decomposition
See Partial fractions.

Piecewisedefined function
A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

Principal nth root
If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

Reference angle
See Reference triangle

Sample survey
A process for gathering data from a subset of a population, usually through direct questioning.

Solution of a system in two variables
An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

Terminal point
See Arrow.

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.