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# Solutions for Chapter 1.4: LIMITS (DISCUSSED MORE RIGOROUSLY)

## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Solutions for Chapter 1.4: LIMITS (DISCUSSED MORE RIGOROUSLY)

Solutions for Chapter 1.4
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##### ISBN: 9780470647691

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 1.4: LIMITS (DISCUSSED MORE RIGOROUSLY) includes 77 full step-by-step solutions. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Since 77 problems in chapter 1.4: LIMITS (DISCUSSED MORE RIGOROUSLY) have been answered, more than 36596 students have viewed full step-by-step solutions from this chapter.

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.

• Arccosine function

See Inverse cosine function.

• Central angle

An angle whose vertex is the center of a circle

• Convenience sample

A sample that sacrifices randomness for convenience

• Elimination method

A method of solving a system of linear equations

• End behavior

The behavior of a graph of a function as.

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Exponential form

An equation written with exponents instead of logarithms.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Mode of a data set

The category or number that occurs most frequently in the set.

• Monomial function

A polynomial with exactly one term.

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Normal distribution

A distribution of data shaped like the normal curve.

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Sample standard deviation

The standard deviation computed using only a sample of the entire population.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

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