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. if x = 0,2 X Let f(x) = 3, if x = 0 Show that f(x) has a removable discontinuity at x = 0 and determine what value for f(0) would make f(x) continuous at x = 0. -3x+8 + x(x-2) 2 Must redefine f(0) Hint: Try combining the fractions and simplifying. The discontinuity at x = 2 is not a removable discontinuity, just in case you were wondering.

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. if x = 0,2 X Let f(x) = 3, if x = 0 Show that f(x) has a removable discontinuity at x = 0 and determine what value for f(0) would make f(x) continuous at x = 0. -3x+8 + x(x-2) 2 Must redefine f(0) Hint: Try combining the fractions and simplifying. The discontinuity at x = 2 is not a removable discontinuity, just in case you were wondering.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...

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