 11.4.1: Suppose and are series with positive terms and is known to be conve...
 11.4.2: Suppose and are series with positive terms and is known to be diver...
 11.4.3: Determine whether the series converges or diverges.
 11.4.4: Determine whether the series converges or diverges.
 11.4.5: Determine whether the series converges or diverges.
 11.4.6: Determine whether the series converges or diverges.
 11.4.7: Determine whether the series converges or diverges.
 11.4.8: Determine whether the series converges or diverges.
 11.4.9: Determine whether the series converges or diverges.
 11.4.10: Determine whether the series converges or diverges.
 11.4.11: Determine whether the series converges or diverges.
 11.4.12: Determine whether the series converges or diverges.
 11.4.13: Determine whether the series converges or diverges.
 11.4.14: Determine whether the series converges or diverges.
 11.4.15: Determine whether the series converges or diverges.
 11.4.16: Determine whether the series converges or diverges.
 11.4.17: Determine whether the series converges or diverges.
 11.4.18: Determine whether the series converges or diverges.
 11.4.19: Determine whether the series converges or diverges.
 11.4.20: Determine whether the series converges or diverges.
 11.4.21: Determine whether the series converges or diverges.
 11.4.22: Determine whether the series converges or diverges.
 11.4.23: Determine whether the series converges or diverges.
 11.4.24: Determine whether the series converges or diverges.
 11.4.25: Determine whether the series converges or diverges.
 11.4.26: Determine whether the series converges or diverges.
 11.4.27: Determine whether the series converges or diverges.
 11.4.28: Determine whether the series converges or diverges.
 11.4.29: Determine whether the series converges or diverges.
 11.4.30: Determine whether the series converges or diverges.
 11.4.31: Determine whether the series converges or diverges.
 11.4.32: Determine whether the series converges or diverges.
 11.4.33: Use the sum of the first 10 terms to approximate the sum of the ser...
 11.4.34: Use the sum of the first 10 terms to approximate the sum of the ser...
 11.4.35: Use the sum of the first 10 terms to approximate the sum of the ser...
 11.4.36: Use the sum of the first 10 terms to approximate the sum of the ser...
 11.4.37: The meaning of the decimal representation of a number (where the di...
 11.4.38: For what values of does the series converge?
 11.4.39: Prove that if and converges, then also converges.
 11.4.40: (a) Suppose that and are series with positive terms and is converge...
 11.4.41: (a) Suppose that and are series with positive terms and is divergen...
 11.4.42: Give an example of a pair of series and with positive terms where a...
 11.4.43: Show that if and then is divergent.
 11.4.44: Show that if and is convergent, then is convergent.
 11.4.45: If is a convergent series with positive terms, is it true that is a...
 11.4.46: If and are both convergent series with positive terms, is it true t...
Solutions for Chapter 11.4: THE COMPARISON TESTS
Full solutions for Multivariable Calculus,  7th Edition
ISBN: 9780538497879
Solutions for Chapter 11.4: THE COMPARISON TESTS
Get Full SolutionsChapter 11.4: THE COMPARISON TESTS includes 46 full stepbystep solutions. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Since 46 problems in chapter 11.4: THE COMPARISON TESTS have been answered, more than 23254 students have viewed full stepbystep solutions from this chapter. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Commutative properties
a + b = b + a ab = ba

Convenience sample
A sample that sacrifices randomness for convenience

Frequency table (in statistics)
A table showing frequencies.

Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

Independent events
Events A and B such that P(A and B) = P(A)P(B)

Intercept
Point where a curve crosses the x, y, or zaxis in a graph.

Mathematical model
A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

Modified boxplot
A boxplot with the outliers removed.

Negative angle
Angle generated by clockwise rotation.

Oddeven identity
For a basic trigonometric function f, an identity relating f(x) to f(x).

Open interval
An interval that does not include its endpoints.

Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.

Position vector of the point (a, b)
The vector <a,b>.

Random variable
A function that assigns realnumber values to the outcomes in a sample space.

Reciprocal function
The function ƒ(x) = 1x

Scatter plot
A plot of all the ordered pairs of a twovariable data set on a coordinate plane.

Semimajor axis
The distance from the center to a vertex of an ellipse.

Statute mile
5280 feet.

yintercept
A point that lies on both the graph and the yaxis.

Zero factorial
See n factorial.