Determine the behavior of the functions defined below. Note that it is common to write "g(x) → 0" to indicate g(x) increases without bound - use that notation below if needed. If a limit does not exist or the function is undefined, write DNE. 3x + 8x? + 7. Complete the following statements. a. Consider g(x) i. lim g(x) = Preview х>0 ii. lim g(x) Preview x→0+ iii. lim g(x) Preview iv. g(0) Preview v. lim g(x) Preview x→-1- vi. lim g(x) Preview x→-1+ vii. lim g(x) Preview viii. g( – 1) = ix. lim g(x) =- Preview Preview хоо x. lim g(x) =00 Preview х—00 b. Based on your work in part a, on what interval(s) is g(x) continuous? Preview Write your answer in interval notation. If you include multiple intervals, use u to denote union.
Determine the behavior of the functions defined below. Note that it is common to write "g(x) → 0" to indicate g(x) increases without bound - use that notation below if needed. If a limit does not exist or the function is undefined, write DNE. 3x + 8x? + 7. Complete the following statements. a. Consider g(x) i. lim g(x) = Preview х>0 ii. lim g(x) Preview x→0+ iii. lim g(x) Preview iv. g(0) Preview v. lim g(x) Preview x→-1- vi. lim g(x) Preview x→-1+ vii. lim g(x) Preview viii. g( – 1) = ix. lim g(x) =- Preview Preview хоо x. lim g(x) =00 Preview х—00 b. Based on your work in part a, on what interval(s) is g(x) continuous? Preview Write your answer in interval notation. If you include multiple intervals, use u to denote union.
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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