 11.5.1: . (a) What is an alternating series? (b) Under what conditions does...
 11.5.2: 220 Test the series for convergence or divergence.23 25 27 29 211 2
 11.5.3: 220 Test the series for convergence or divergence.25 46 67 88 109 1
 11.5.4: 220 Test the series for convergence or divergence.1s2 1s31s4 1s51s6
 11.5.5: 220 Test the series for convergence or divergence.n11n12n 1
 11.5.6: 220 Test the series for convergence or divergence.n11 n1lnn 4
 11.5.7: 220 Test the series for convergence or divergence.n11n 3n 12n 1
 11.5.8: 220 Test the series for convergence or divergence.n11n nsn3 2
 11.5.9: 220 Test the series for convergence or divergence.n11nen
 11.5.10: 220 Test the series for convergence or divergence.n11n sn2n 3
 11.5.11: 220 Test the series for convergence or divergence.n11n1 n2n3 4
 11.5.12: 220 Test the series for convergence or divergence.n11n1nen
 11.5.13: 220 Test the series for convergence or divergence.n11n1e 2n
 11.5.14: 220 Test the series for convergence or divergence.n11n1 arctan n
 11.5.15: 220 Test the series for convergence or divergence.n0sin(n 12 )1 sn
 11.5.16: 220 Test the series for convergence or divergence.n1n cos n2n
 11.5.17: 220 Test the series for convergence or divergence.n11n sinn
 11.5.18: 220 Test the series for convergence or divergence.n11n cosn
 11.5.19: 220 Test the series for convergence or divergence.n11n nnn!
 11.5.20: 220 Test the series for convergence or divergence.n11n(sn 1 sn )
 11.5.21: 2122 Graph both the sequence of terms and the sequence of partial s...
 11.5.22: 2122 Graph both the sequence of terms and the sequence of partial s...
 11.5.23: 2326 Show that the series is convergent. How many terms of the seri...
 11.5.24: 2326 Show that the series is convergent. How many terms of the seri...
 11.5.25: 2326 Show that the series is convergent. How many terms of the seri...
 11.5.26: 2326 Show that the series is convergent. How many terms of the seri...
 11.5.27: 2730 Approximate the sum of the series correct to four decimal plac...
 11.5.28: 2730 Approximate the sum of the series correct to four decimal plac...
 11.5.29: 2730 Approximate the sum of the series correct to four decimal plac...
 11.5.30: 2730 Approximate the sum of the series correct to four decimal plac...
 11.5.31: . Is the 50th partial sum of the alternating series an overestimate...
 11.5.32: 3234 For what values of is each series convergent?n11n1np
 11.5.33: 3234 For what values of is each series convergent?n11nn p
 11.5.34: 3234 For what values of is each series convergent?n21n1 ln n pn 1n
 11.5.35: Show that the series , where if is odd and if is even, is divergent...
 11.5.36: Use the following steps to show that Let and be the partial sums of...
Solutions for Chapter 11.5: Alternating Series
Full solutions for Calculus: Early Transcendentals  7th Edition
ISBN: 9780538497909
Solutions for Chapter 11.5: Alternating Series
Get Full SolutionsChapter 11.5: Alternating Series includes 36 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Calculus: Early Transcendentals was written by Patricia and is associated to the ISBN: 9780538497909. Since 36 problems in chapter 11.5: Alternating Series have been answered, more than 10566 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Binomial probability
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n  k2!pk11  p) nk where p is the probability of the outcome occurring once

Common ratio
See Geometric sequence.

Direction angle of a vector
The angle that the vector makes with the positive xaxis

Distributive property
a(b + c) = ab + ac and related properties

Event
A subset of a sample space.

Histogram
A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

Imaginary unit
The complex number.

Implied domain
The domain of a function’s algebraic expression.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Irrational zeros
Zeros of a function that are irrational numbers.

Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

Logarithmic regression
See Natural logarithmic regression

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Observational study
A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

Order of an m x n matrix
The order of an m x n matrix is m x n.

Parabola
The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

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.

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Statute mile
5280 feet.

Sum of functions
(ƒ + g)(x) = ƒ(x) + g(x)
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