 9.5.1: In Exercises 16, match the series with the graph of its sequence of...
 9.5.2: In Exercises 16, match the series with the graph of its sequence of...
 9.5.3: In Exercises 16, match the series with the graph of its sequence of...
 9.5.4: In Exercises 16, match the series with the graph of its sequence of...
 9.5.5: In Exercises 16, match the series with the graph of its sequence of...
 9.5.6: In Exercises 16, match the series with the graph of its sequence of...
 9.5.7: In Exercises 710, explore the Alternating Series Remainder. (a) Use...
 9.5.8: In Exercises 710, explore the Alternating Series Remainder. (a) Use...
 9.5.9: In Exercises 710, explore the Alternating Series Remainder. (a) Use...
 9.5.10: In Exercises 710, explore the Alternating Series Remainder. (a) Use...
 9.5.11: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.12: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.13: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.14: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.15: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.16: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.17: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.18: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.19: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.20: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.21: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.22: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.23: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.24: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.25: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.26: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.27: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.28: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.29: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.30: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.31: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.32: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.33: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.34: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.35: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.36: In Exercises 1136, determine the convergence or divergence of the s...
 9.5.37: In Exercises 37 40, approximate the sum of the series by using the ...
 9.5.38: In Exercises 37 40, approximate the sum of the series by using the ...
 9.5.39: In Exercises 37 40, approximate the sum of the series by using the ...
 9.5.40: In Exercises 37 40, approximate the sum of the series by using the ...
 9.5.41: In Exercises 4146, (a) use Theorem 9.15 to determine the number of ...
 9.5.42: In Exercises 4146, (a) use Theorem 9.15 to determine the number of ...
 9.5.43: In Exercises 4146, (a) use Theorem 9.15 to determine the number of ...
 9.5.44: In Exercises 4146, (a) use Theorem 9.15 to determine the number of ...
 9.5.45: In Exercises 4146, (a) use Theorem 9.15 to determine the number of ...
 9.5.46: In Exercises 4146, (a) use Theorem 9.15 to determine the number of ...
 9.5.47: In Exercises 4750, use Theorem 9.15 to determine the number of term...
 9.5.48: In Exercises 4750, use Theorem 9.15 to determine the number of term...
 9.5.49: In Exercises 4750, use Theorem 9.15 to determine the number of term...
 9.5.50: In Exercises 4750, use Theorem 9.15 to determine the number of term...
 9.5.51: In Exercises 5170, determine whether the series converges condition...
 9.5.52: In Exercises 5170, determine whether the series converges condition...
 9.5.53: In Exercises 5170, determine whether the series converges condition...
 9.5.54: In Exercises 5170, determine whether the series converges condition...
 9.5.55: In Exercises 5170, determine whether the series converges condition...
 9.5.56: In Exercises 5170, determine whether the series converges condition...
 9.5.57: In Exercises 5170, determine whether the series converges condition...
 9.5.58: In Exercises 5170, determine whether the series converges condition...
 9.5.59: In Exercises 5170, determine whether the series converges condition...
 9.5.60: In Exercises 5170, determine whether the series converges condition...
 9.5.61: In Exercises 5170, determine whether the series converges condition...
 9.5.62: In Exercises 5170, determine whether the series converges condition...
 9.5.63: In Exercises 5170, determine whether the series converges condition...
 9.5.64: In Exercises 5170, determine whether the series converges condition...
 9.5.65: In Exercises 5170, determine whether the series converges condition...
 9.5.66: In Exercises 5170, determine whether the series converges condition...
 9.5.67: In Exercises 5170, determine whether the series converges condition...
 9.5.68: In Exercises 5170, determine whether the series converges condition...
 9.5.69: In Exercises 5170, determine whether the series converges condition...
 9.5.70: In Exercises 5170, determine whether the series converges condition...
 9.5.71: Define an alternating series.
 9.5.72: State the Alternating Series Test
 9.5.73: Give the remainder after terms of a convergent alternating series.
 9.5.74: In your own words, state the difference between absolute and condit...
 9.5.75: The graphs of the sequences of partial sums of two series are shown...
 9.5.76: Do you agree with the following statements? Why or why not? (a) If ...
 9.5.77: In Exercises 77 and 78, determine whether the statement is true or ...
 9.5.78: In Exercises 77 and 78, determine whether the statement is true or ...
 9.5.79: In Exercises 79 and 80, find the values of for which the series con...
 9.5.80: In Exercises 79 and 80, find the values of for which the series con...
 9.5.81: Prove that if converges, then converges. Is the converse true? If n...
 9.5.82: Use the result of Exercise 79 to give an example of an alternating ...
 9.5.83: Give an example of a series that demonstrates the statement you pro...
 9.5.84: Find all values of for which the series (a) converges absolutely an...
 9.5.85: Consider the following series. (a) Does the series meet the conditi...
 9.5.86: Consider the following series. (a) Does the series meet the conditi...
 9.5.87: In Exercises 8796, test for convergence or divergence and identify ...
 9.5.88: In Exercises 8796, test for convergence or divergence and identify ...
 9.5.89: In Exercises 8796, test for convergence or divergence and identify ...
 9.5.90: In Exercises 8796, test for convergence or divergence and identify ...
 9.5.91: In Exercises 8796, test for convergence or divergence and identify ...
 9.5.92: In Exercises 8796, test for convergence or divergence and identify ...
 9.5.93: In Exercises 8796, test for convergence or divergence and identify ...
 9.5.94: In Exercises 8796, test for convergence or divergence and identify ...
 9.5.95: In Exercises 8796, test for convergence or divergence and identify ...
 9.5.96: In Exercises 8796, test for convergence or divergence and identify ...
 9.5.97: The following argument, that is incorrect. Describe the error.
 9.5.98: The following argument, is incorrect. Describe the error. Multiply ...
 9.5.99: Assume as known the (true) fact that the alternating harmonic serie...
Solutions for Chapter 9.5: Alternating Series
Full solutions for Calculus  9th Edition
ISBN: 9780547167022
Solutions for Chapter 9.5: Alternating Series
Get Full SolutionsChapter 9.5: Alternating Series includes 99 full stepbystep solutions. Calculus was written by and is associated to the ISBN: 9780547167022. Since 99 problems in chapter 9.5: Alternating Series have been answered, more than 61214 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus , edition: 9. This expansive textbook survival guide covers the following chapters and their solutions.

Central angle
An angle whose vertex is the center of a circle

Continuous function
A function that is continuous on its entire domain

Directed angle
See Polar coordinates.

Divisor of a polynomial
See Division algorithm for polynomials.

Domain of a function
The set of all input values for a function

Doubleblind experiment
A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

Equation
A statement of equality between two expressions.

Feasible points
Points that satisfy the constraints in a linear programming problem.

Linear regression equation
Equation of a linear regression line

Logarithm
An expression of the form logb x (see Logarithmic function)

Polar distance formula
The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22  2r1r2 cos 1?1  ?22

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.

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Quartic regression
A procedure for fitting a quartic function to a set of data.

Statute mile
5280 feet.

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Triangular form
A special form for a system of linear equations that facilitates finding the solution.

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

Trichotomy property
For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

yaxis
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.