The graph of f(x) is shown (see figure). 7x f(x)= (a) Find the following limits. L= lim f(x) = X→ 00 K= 9 lim f(x) ■ M= (b) Determine x, and x₂ in terms of . Not drawn to scale (c) Determine M, where M> 0, such that f(x) - L M. N= (d) Determine N, where N < 0, such that f(x) - K| < s for x < N. e
The graph of f(x) is shown (see figure). 7x f(x)= (a) Find the following limits. L= lim f(x) = X→ 00 K= 9 lim f(x) ■ M= (b) Determine x, and x₂ in terms of . Not drawn to scale (c) Determine M, where M> 0, such that f(x) - L M. N= (d) Determine N, where N < 0, such that f(x) - K| < s for x < N. e
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 2E
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Transcribed Image Text:The graph of f(x) is shown (see figure).
7x
x² +9
(a) Find the following limits.
lim f(x) =
L =
K = lim f(x) =
X-00
f(x) =
(b) Determine x₁
x2
M =
Net drawn to scale
(c) Determine M, where M > 0, such that If(x) - L| < ε for x > M.
N =
and d x₂ in terms of s.
(d) Determine N, where N < 0, such that If(x) - K| < & for x < N.
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