   Chapter 2.2, Problem 5E

Chapter
Section
Textbook Problem

For the function f whose graph is given, state the value of each quantity, if it exists. If it does not exit, explain why.(a) lim x → 1 f ( x ) (b) lim x → 3 − f ( x ) (c) lim x → 3 + f ( x ) (d) lim x → 3 f ( x ) (e) f ( 3 ) (a)

To determine

To find: The value of limx1f(x) if exists.

Explanation

From the given graph, it is found that the curve move towards y=2 as x approaches 1 from the left, that is x<1.

That is, limx1f(x)=2.

From the given graph, it is found that the curve move towards y=2 as x approaches 1 from the right, that is x>1.

That is, limx1+f(x)=2

(b)

To determine

To find: The value of limx3f(x) if exists.

(c)

To determine

To find: The value of limx3+f(x) if exists.

(d)

To determine

To find: The value of limx3f(x) if exists.

(e)

To determine

To find: The value of f(3).

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