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Show whether or not the graphs of the functions below have vertical asymptotes by evaluating the given limits. Enter INF for o and –INF for -00. Σ 1. lim x - 3 E 2. lim 3 1 2 3. lim -7 x2(x+ 7)

Show whether or not the graphs of the functions below have vertical asymptotes by evaluating the given limits. Enter INF for o and –INF for -00. Σ 1. lim x - 3 E 2. lim 3 1 2 3. lim -7 x2(x+ 7)

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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Question
Show whether or not the graphs of the functions below have vertical asymptotes by evaluating the given limits. Enter INF for o and –INF for o. Z 1. lim x→3+ 3 - 6 2 2. lim 3 1 Х 3. lim x→-7 x2(x + 7) 1 Z 4. lim 20 x2 (x +7) 8. 2 5. lim a→5 (x – 5)3 8 2 6. lim 245 (x – 5)8
Transcribed Image Text:Show whether or not the graphs of the functions below have vertical asymptotes by evaluating the given limits. Enter INF for o and –INF for o. Z 1. lim x→3+ 3 - 6 2 2. lim 3 1 Х 3. lim x→-7 x2(x + 7) 1 Z 4. lim 20 x2 (x +7) 8. 2 5. lim a→5 (x – 5)3 8 2 6. lim 245 (x – 5)8
A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity. Evaluate the limits in (1)-(3) below to determine whether the function x2 +1 f(x) = x2 – 10x + 25 has a vertical asymptote at x = 5. Evaluate the following limits. Enter INF for o. Enter -INF for -ox. Enter DNE if the limit does not exist. x2 +1 Σ( 1) lim «? — 10х + 25 x2 + 1 Σ(2) lim x5+ r2 10x + 25 x2 +1 E (3) lim x→5 x2 10х + 25
Transcribed Image Text:A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity. Evaluate the limits in (1)-(3) below to determine whether the function x2 +1 f(x) = x2 – 10x + 25 has a vertical asymptote at x = 5. Evaluate the following limits. Enter INF for o. Enter -INF for -ox. Enter DNE if the limit does not exist. x2 +1 Σ( 1) lim «? — 10х + 25 x2 + 1 Σ(2) lim x5+ r2 10x + 25 x2 +1 E (3) lim x→5 x2 10х + 25
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