1. If 3x − 1 ≤ f(x) ≤ x² − 3x+8 for all x ≥ 0, find lim f(x). x-3 2. If 2 sin (7x) ≤ g(x) ≤ −ex−1 when x is near 1. Find lim g(x). x-3 x→1-

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 1E: If the rational function y=r(x) has the vertical asymptote x=2, then as x2+ , either y ______or y...
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Considering limits in squeeze theorem, ans the ff and show solution:

1. If 3x − 1 ≤ f(x) ≤ x² − 3x+8 for all x ≥ 0, find lim f(x).
x-3
2. If
2 sin (7x) ≤ g(x) ≤ −ex−1 when x is near 1. Find lim g(x).
x-3
x→1-
Transcribed Image Text:1. If 3x − 1 ≤ f(x) ≤ x² − 3x+8 for all x ≥ 0, find lim f(x). x-3 2. If 2 sin (7x) ≤ g(x) ≤ −ex−1 when x is near 1. Find lim g(x). x-3 x→1-
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