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# Solutions for Chapter 9.4: Comparisons of Series

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 9.4: Comparisons of Series

Solutions for Chapter 9.4
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##### ISBN: 9781285774770

Since 67 problems in chapter 9.4: Comparisons of Series have been answered, more than 43722 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9.4: Comparisons of Series includes 67 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770.

Key Calculus Terms and definitions covered in this textbook

If u = v and w = z , then u + w = v + z

• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• Convergence of a sequence

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

• Course

See Bearing.

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• 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.

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Range of a function

The set of all output values corresponding to elements in the domain.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• Sum of an infinite series

See Convergence of a series

A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

• Zero of a function

A value in the domain of a function that makes the function value zero.

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