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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
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 )

images

(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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