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# Solutions for Chapter 14.2: Limits and Continuity ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 14.2: Limits and Continuity

Solutions for Chapter 14.2
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##### ISBN: 9780534393397

Since 42 problems in chapter 14.2: Limits and Continuity have been answered, more than 45029 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Chapter 14.2: Limits and Continuity includes 42 full step-by-step solutions. Calculus, was written by and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

• Arcsecant function

See Inverse secant function.

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Distance (in Cartesian space)

The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

• Domain of a function

The set of all input values for a function

• First quartile

See Quartile.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Inverse sine function

The function y = sin-1 x

• Length of an arrow

See Magnitude of an arrow.

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Ordered pair

A pair of real numbers (x, y), p. 12.

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Standard deviation

A measure of how a data set is spread

• Vertical stretch or shrink

See Stretch, Shrink.

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