 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 and is associated to the ISBN: 9780538497909. Since 36 problems in chapter 11.5: Alternating Series have been answered, more than 16420 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Convergence of a sequence
A sequence {an} converges to a if limn: q an = a

Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

Exponent
See nth power of a.

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Jump discontinuity at x a
limx:a  ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

Leaf
The final digit of a number in a stemplot.

Linear regression
A procedure for finding the straight line that is the best fit for the data

Linear regression equation
Equation of a linear regression line

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

Measure of center
A measure of the typical, middle, or average value for a data set

Modulus
See Absolute value of a complex number.

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

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.

Polynomial in x
An expression that can be written in the form an x n + an1x n1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02

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).