The graph of f(x) is shown (see figure). 5x √2+7 (a) Find the following limits. Llim f(x)= 5 K- lim f(x)= -5 (b) Determine x, and x₂ in terms of e. 2(5-8) √(10-) M= Not to 2(-5+6) √(10-) (c) Determine M, where M> 0, such that f(x) - L < e for x > M. 2(5-8) √(10-) N= (d) Determine N, where N < 0, such that If(x) - K|

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 2E
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The graph of f(x) is shown (see figure).
5x
f(x) =
√2+7
(a) Find the following limits.
L = lim f(x) =
5
Klim f(x) =
-5
(b) Determine x, and x₂ in terms of .
2(5-8)
√(10-E)
M=
2(-5+6)
√(10-E)
(c) Determine M, where M > 0, such that If(x) - L| < e for x > M.
2(5-6)
√(10-
N=
Not tole
(d) Determine N, where N < 0, such that f(x) - K| < e for x < N.
2(-5+8)
√(10-)
X
Transcribed Image Text:The graph of f(x) is shown (see figure). 5x f(x) = √2+7 (a) Find the following limits. L = lim f(x) = 5 Klim f(x) = -5 (b) Determine x, and x₂ in terms of . 2(5-8) √(10-E) M= 2(-5+6) √(10-E) (c) Determine M, where M > 0, such that If(x) - L| < e for x > M. 2(5-6) √(10- N= Not tole (d) Determine N, where N < 0, such that f(x) - K| < e for x < N. 2(-5+8) √(10-) X
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