 11.5.1: (a) What is an alternating series? (b) Under what conditions does a...
 11.5.2: 220 Test the series for convergence or divergence.
 11.5.3: 220 Test the series for convergence or divergence.
 11.5.4: 220 Test the series for convergence or divergence.
 11.5.5: 220 Test the series for convergence or divergence.
 11.5.6: 220 Test the series for convergence or divergence.
 11.5.7: 220 Test the series for convergence or divergence.
 11.5.8: 220 Test the series for convergence or divergence.
 11.5.9: 220 Test the series for convergence or divergence.
 11.5.10: 220 Test the series for convergence or divergence.
 11.5.11: 220 Test the series for convergence or divergence.
 11.5.12: 220 Test the series for convergence or divergence.
 11.5.13: 220 Test the series for convergence or divergence.
 11.5.14: 220 Test the series for convergence or divergence.
 11.5.15: 220 Test the series for convergence or divergence.
 11.5.16: 220 Test the series for convergence or divergence.
 11.5.17: 220 Test the series for convergence or divergence.
 11.5.18: 220 Test the series for convergence or divergence.
 11.5.19: 220 Test the series for convergence or divergence.
 11.5.20: 220 Test the series for convergence or divergence.
 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 places
 11.5.28: 2730 Approximate the sum of the series correct to four decimal places
 11.5.29: 2730 Approximate the sum of the series correct to four decimal places
 11.5.30: 2730 Approximate the sum of the series correct to four decimal places
 11.5.31: Is the 50th partial sum s50 of the alternating series o` n1 s21d n2...
 11.5.32: 3234 For what values of p is each series convergent?
 11.5.33: 3234 For what values of p is each series convergent?
 11.5.34: 3234 For what values of p is each series convergent?
 11.5.35: Show that the series o s21d n21 bn, where bn 1yn if n is odd and bn...
 11.5.36: Use the following steps to show that o ` n1 s21d n21 n ln 2 Let hn ...
Solutions for Chapter 11.5: Alternating Series
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 11.5: Alternating Series
Get Full SolutionsSingle Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.5: Alternating Series includes 36 full stepbystep solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 36 problems in chapter 11.5: Alternating Series have been answered, more than 38139 students have viewed full stepbystep solutions from this chapter.

Additive identity for the complex numbers
0 + 0i is the complex number zero

Common difference
See Arithmetic sequence.

Constant term
See Polynomial function

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

Focus, foci
See Ellipse, Hyperbola, Parabola.

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.

Inverse cotangent function
The function y = cot1 x

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

Negative angle
Angle generated by clockwise rotation.

Octants
The eight regions of space determined by the coordinate planes.

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Radian
The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.

RRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the righthand end point of each subinterval.

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.

Sum identity
An identity involving a trigonometric function of u + v

Unit circle
A circle with radius 1 centered at the origin.

Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.