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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

Explain in your own words what is meant by the equation

lim x 2 f ( x ) = 5

Is it possible for this statement to be true and yet f(2) = 3? Explain.

To determine

To explain: The meaning of limx2f(x)=5 and check whether this statement is true for f(2)=3 or not.

Explanation

Suppose the function f(x) is defined for all x near 2 but not exactly at x=2.

The limx2f(x)=5 exists if f(x) gets arbitrarily close to 5 as x gets sufficiently closer (but not equal) to 2 from both sides of 2

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