   Chapter 2.5, Problem 2CQ

Chapter
Section
Textbook Problem

Suppose lim x → 1 − f ( x ) = 3 and lim x → 1 + f ( x ) = 4 a. What can you say about lim x → 1 f ( x ) ? Explain. b. What can you say about f(1)? Explain.

(a)

To determine

To explain: The meaning of the function limx1f(x) .

Explanation

The function limx1f(x)=3 and limx1+f(x)=4 .

The function f has the right hand limit L as x approaches a from the right that is limxa+f(x)=L .

The function f has the left hand limit M as x approaches a from the left that is limxaf(x)=M

(b)

To determine

To explain: The meaning of the function f(1) .

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