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# Solutions for Chapter 8.2: Interchange of Limits

## Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 8.2: Interchange of Limits

Solutions for Chapter 8.2
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##### ISBN: 9780471321484

Since 20 problems in chapter 8.2: Interchange of Limits have been answered, more than 6321 students have viewed full step-by-step solutions from this chapter. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 8.2: Interchange of Limits includes 20 full step-by-step solutions. This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3.

Key Calculus Terms and definitions covered in this textbook
• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Arcsecant function

See Inverse secant function.

• Arrow

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

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Frequency table (in statistics)

A table showing frequencies.

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• kth term of a sequence

The kth expression in the sequence

• Line of symmetry

A line over which a graph is the mirror image of itself

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Maximum r-value

The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Terms of a sequence

The range elements of a sequence.

• Unit circle

A circle with radius 1 centered at the origin.

• Vertical line test

A test for determining whether a graph is a function.

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