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Single Variable Calculus

8th Edition
James Stewart
ISBN: 9781305266636

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BuyFindarrow_forward

Single Variable Calculus

8th Edition
James Stewart
ISBN: 9781305266636
Textbook Problem

Explain what it means to say that

lim x 1 f ( x ) = 3 and lim x 1 + f ( x ) = 7

In this situation is it possible that limx→1 f(x) exists? Explain.

To determine

To explain: The meaning of limx1f(x)=3 and limx1+f(x)=7 and the existence of limx1f(x).

Explanation

The meaning of limx1f(x)=3 is, as the values of x gets more closer to 1 from the left that is x<1, the value of f(x) arbitrarily approaches 3.

The meaning of limx1+f(x)=7 is, as the values of x gets more closer to 1 from the right that is

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