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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34. (a) The terminology removable discontinuity is appropriate because a removable discontinuity of a function f at x = c can be “removed” by redefining the value of f appropriately at x = c. What value for f(c) removes
the discontinuity?
(b) Show that the following functions have removable discontinuities at x = 1, and sketch their graphs.
f(x) = x2 − 1 / x − 1 and g(x) = {1, x > 1 & 0, x = 1 & 1, x < 1
(c) What values should be assigned to f(1) and g(1) to remove the discontinuities?
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