   Chapter 10.3, Problem 4E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 1–4, complete the given sentence.The closed-form function f ( x ) = x − 1 has x = 10 inits domain. Therefore, lim x → 10 x − 1 = _ _ _ . [HINT: See Quick Example 1.]

To determine

To fill: The blank provided in the statement “The closed-form function f(x)=x1 has x=10 in its domain. Therefore, limx10x1= ________”

Explanation

Consider the function f(x)=x1.

Now, according to continuity of closed form function theorem:

Every function of the closed form is continuous on its domain,

So, if limxaf(x) exists and f(a) is defined, then

limxaf(x)=f(a)

As, 10 is in the domain of the function x1

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