 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 33462 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Absolute value of a vector
See Magnitude of a vector.

Chord of a conic
A line segment with endpoints on the conic

Circle graph
A circular graphical display of categorical data

Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data

Cotangent
The function y = cot x

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Extraneous solution
Any solution of the resulting equation that is not a solution of the original equation.

Focal axis
The line through the focus and perpendicular to the directrix of a conic.

Identity
An equation that is always true throughout its domain.

Law of cosines
a2 = b2 + c2  2bc cos A, b2 = a2 + c2  2ac cos B, c2 = a2 + b2  2ab cos C

Leading coefficient
See Polynomial function in x

Leading term
See Polynomial function in x.

Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2 ba2 + b2 i

Powerreducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.

Product of complex numbers
(a + bi)(c + di) = (ac  bd) + (ad + bc)i

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Rational expression
An expression that can be written as a ratio of two polynomials.

Slant asymptote
An end behavior asymptote that is a slant line

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

xzplane
The points x, 0, z in Cartesian space.