x2 – 16 This Graph of f(x) = %3D x – 4 4, but the function is undefined at x = limit as x → 4 exists.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
x2 – 16
This
Graph of f(x) =
%3D
x – 4
4, but the
function is undefined at x =
limit as x → 4 exists.
Transcribed Image Text:x2 – 16 This Graph of f(x) = %3D x – 4 4, but the function is undefined at x = limit as x → 4 exists.
Expert Solution
Step 1

Given function is fx=x2-16x-4.

We know that a rational function is defined if it's denominator is not equal to  zero.

So, given function is defined if:

x-40x4

Now, limit of a function fx exists at x=a if:

limxa-fx=limxa+fx

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