 8.5.1: In Exercises 14, iimtcli the series with the graph of its sequence...
 8.5.2: In Exercises 14, iimtcli the series with the graph of its sequence...
 8.5.3: In Exercises 14, iimtcli the series with the graph of its sequence...
 8.5.4: In Exercises 14, iimtcli the series with the graph of its sequence...
 8.5.5: .\iiiinriciil aiitl Graphical Analysis In Exercises 5.S. exploreth...
 8.5.6: .\iiiinriciil aiitl Graphical Analysis In Exercises 5.S. exploreth...
 8.5.7: .\iiiinriciil aiitl Graphical Analysis In Exercises 5.S. exploreth...
 8.5.8: .\iiiinriciil aiitl Graphical Analysis In Exercises 5.S. exploreth...
 8.5.9: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.10: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.11: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.12: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.13: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.14: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.15: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.16: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.17: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.18: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.19: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.20: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.21: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.22: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.23: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.24: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.25: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.26: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.27: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.28: In Exercises 928, determine the convergence or divergence ofthe se...
 8.5.29: In Exercises 2932, approximate the siiiu of the series b\ usingthe...
 8.5.30: In Exercises 2932, approximate the siiiu of the series b\ usingthe...
 8.5.31: In Exercises 2932, approximate the siiiu of the series b\ usingthe...
 8.5.32: In Exercises 2932, approximate the siiiu of the series b\ usingthe...
 8.5.33: In Exercises 3338. (a) use Theorem 8.15 to determine the number of...
 8.5.34: In Exercises 3338. (a) use Theorem 8.15 to determine the number of...
 8.5.35: In Exercises 3338. (a) use Theorem 8.15 to determine the number of...
 8.5.36: In Exercises 3338. (a) use Theorem 8.15 to determine the number of...
 8.5.37: In Exercises 3338. (a) use Theorem 8.15 to determine the number of...
 8.5.38: In Exercises 3338. (a) use Theorem 8.15 to determine the number of...
 8.5.39: In Exercises 39 and 4(1. use Tluoreni 8.15 tci determine llie nmnbe...
 8.5.40: In Exercises 39 and 4(1. use Tluoreni 8.15 tci determine llie nmnbe...
 8.5.41: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.42: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.43: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.44: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.45: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.46: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.47: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.48: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.49: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.50: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.51: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.52: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.53: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.54: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.55: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.56: In Kxereises 4156, determine whether (he series eonveryescondition...
 8.5.57: Define an alternating series and state the Alternating SeriesTest.
 8.5.58: Give the remainder after A' terms of a convergent alternating .series.
 8.5.59: In your ov\n words, state the difference between absoluteand condit...
 8.5.60: Cii\e an example of an alleniatmg series that conxergeswhile the se...
 8.5.61: The graphs of the sequences of partial sums of two seriesare show n...
 8.5.62: Princ that the alternating /(seriesIy (1) //''coinerges if/) > 0.
 8.5.63: Fro\c that if i^ (/ converges, then  ti~ con\erges. Is thecoiner...
 8.5.64: LKe the result of E.xcrcise 62 to give an example of an alternating...
 8.5.65: Give an example ol a series that demonstrates the statement you pnu...
 8.5.66: Eind all values of .y for which the series S fv"///) (a) convergesa...
 8.5.67: True or False? In Kxereises 67 and 68, determine whether thestateme...
 8.5.68: True or False? In Kxereises 67 and 68, determine whether thestateme...
 8.5.69: In Exercises 6978, test for con\eri;ence or diverijence and identi...
 8.5.70: In Exercises 6978, test for con\eri;ence or diverijence and identi...
 8.5.71: In Exercises 6978, test for con\eri;ence or diverijence and identi...
 8.5.72: In Exercises 6978, test for con\eri;ence or diverijence and identi...
 8.5.73: In Exercises 6978, test for con\eri;ence or diverijence and identi...
 8.5.74: In Exercises 6978, test for con\eri;ence or diverijence and identi...
 8.5.75: In Exercises 6978, test for con\eri;ence or diverijence and identi...
 8.5.76: In Exercises 6978, test for con\eri;ence or diverijence and identi...
 8.5.77: In Exercises 6978, test for con\eri;ence or diverijence and identi...
 8.5.78: In Exercises 6978, test for con\eri;ence or diverijence and identi...
 8.5.79: The follow iug Liigument, that = 1. is iiiconvcl. Describe theerror...
Solutions for Chapter 8.5: Alternating Series
Full solutions for Calculus of A Single Variable  7th Edition
ISBN: 9780618149162
Solutions for Chapter 8.5: Alternating Series
Get Full SolutionsCalculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. Since 79 problems in chapter 8.5: Alternating Series have been answered, more than 25155 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Chapter 8.5: Alternating Series includes 79 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Augmented matrix
A matrix that represents a system of equations.

Bias
A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Common ratio
See Geometric sequence.

Derivative of ƒ at x a
ƒ'(a) = lim x:a ƒ(x)  ƒ(a) x  a provided the limit exists

Difference of complex numbers
(a + bi)  (c + di) = (a  c) + (b  d)i

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Horizontal shrink or stretch
See Shrink, stretch.

Law of sines
sin A a = sin B b = sin C c

Length of a vector
See Magnitude of a vector.

Linear inequality in two variables x and y
An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

Logistic regression
A procedure for fitting a logistic curve to a set of data

Mode of a data set
The category or number that occurs most frequently in the set.

Parametric curve
The graph of parametric equations.

Pole
See Polar coordinate system.

Rational function
Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

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

Symmetric property of equality
If a = b, then b = a

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.