A function f(x) is said to have a removable discontinuity at `x-a` if: 1. ` f' is either not defined or not continuous at `x=a `. 2. f(a) could either be defined or redefined so that the new function IS continuous at `x-a`. Let' f(x)=\frac (2x^2+4 x -16)(x-2)* Show that f(x) has a removable discontinuity at x=2 and determine what value for f(2) would make f(x) continuous at x=2 . Must define f(2)=

Calculus: Early Transcendentals
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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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A function f(x) is said to have a removable discontinuity at `x-a` if:
1. ` f' is either not defined or not continuous at `x=a `.
2. f(a) could either be defined or redefined so that the new function IS continuous at `x-a`.
Let' f(x)=\frac (2x^2+4 x -16)(x-2)*
Show that f(x) has a removable discontinuity at x=2 and determine what value for f(2) would
make f(x) continuous at x=2 .
Must define
f(2)=
Transcribed Image Text:A function f(x) is said to have a removable discontinuity at `x-a` if: 1. ` f' is either not defined or not continuous at `x=a `. 2. f(a) could either be defined or redefined so that the new function IS continuous at `x-a`. Let' f(x)=\frac (2x^2+4 x -16)(x-2)* Show that f(x) has a removable discontinuity at x=2 and determine what value for f(2) would make f(x) continuous at x=2 . Must define f(2)=
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