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2. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does not exist, explain why. (a) lim [f(x) + g(x)] (b) g(x)] (c) lim [f(x) g(x)] 111 lim [f(x) x-0 f(x) x-3 g(x) (d) lim

2. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does not exist, explain why. (a) lim [f(x) + g(x)] (b) g(x)] (c) lim [f(x) g(x)] 111 lim [f(x) x-0 f(x) x-3 g(x) (d) lim

Calculus: Early Transcendentals
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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137 / 1421 E 2.3 Exercises 4 1. Given that (c) lim √f(x) g(x) x-2 h(x) (e) lim lim f(x) = 4 find the limits that exist. If the limit does not exist, explain why. (a) lim [f(x) + 5g(x)] (c) - lim, [f(x) g(x)] 100% lim g(x) = -2 x-2 (b) lim [g(x)]³ 3f(x) g(x) (d) lim + A lim h(x) = 0 x-2 (f) lim g(x) h(x) x-2 f(x) 2. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does not exist, explain why. (a) lim [f(x) + g(x)] (b) lim [f(x) = g(x)] f(x) (d) lim g(x) (e) lim [x²f(x)] x-2 -14 5. 0 1 3. lim (4x25x) x-5 9. lim 11-1 0-2 (0+2v) (2v³ - 5) 7. lim √9u³ + 2u² u-2 y = f(x) 3-9 Evaluate the limit and justify each step by indicating the appropriate Limit Law(s). 215 - 51² +4 (f) f(-1) + lim g(x) x--1 3 -1 0 y = g(x) 6. lim 4. lim (2x³ + 6x² - 9) x-3 31² + 1 17t²5t+2 8. lim √x + 5 (2x² – 3x) x-3 Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-203 Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
Transcribed Image Text:137 / 1421 E 2.3 Exercises 4 1. Given that (c) lim √f(x) g(x) x-2 h(x) (e) lim lim f(x) = 4 find the limits that exist. If the limit does not exist, explain why. (a) lim [f(x) + 5g(x)] (c) - lim, [f(x) g(x)] 100% lim g(x) = -2 x-2 (b) lim [g(x)]³ 3f(x) g(x) (d) lim + A lim h(x) = 0 x-2 (f) lim g(x) h(x) x-2 f(x) 2. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does not exist, explain why. (a) lim [f(x) + g(x)] (b) lim [f(x) = g(x)] f(x) (d) lim g(x) (e) lim [x²f(x)] x-2 -14 5. 0 1 3. lim (4x25x) x-5 9. lim 11-1 0-2 (0+2v) (2v³ - 5) 7. lim √9u³ + 2u² u-2 y = f(x) 3-9 Evaluate the limit and justify each step by indicating the appropriate Limit Law(s). 215 - 51² +4 (f) f(-1) + lim g(x) x--1 3 -1 0 y = g(x) 6. lim 4. lim (2x³ + 6x² - 9) x-3 31² + 1 17t²5t+2 8. lim √x + 5 (2x² – 3x) x-3 Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-203 Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
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