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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

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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