   Chapter 2, Problem 3RCC ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# State the following limit Laws.(a) Sum Law(b) Difference Law(c) Constant Multiple Law(d) Product Law(e) Quotient Law(f) Power Law(g) Root Law

(a)

To determine

To state: The Sum law

Explanation

If the limits are limxaf(x) and limxag(x) exists, then the sum law gives

limxa[f(x)+g(x)]=limxaf(x)+limxag(x)

Clearly, if limxaf(x)=L

(b)

To determine

To state: The Difference law

(c)

To determine

To state: The Constant multiple law

(d)

To determine

To state: The product law

(e)

To determine

To state: The Quotient law

(f)

To determine

To state: The Power law

(g)

To determine

To state: The Root law

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