The graph of f(x) is shown (see figure). 9x² x²+4 (a) Find the following limit. L = lim f(x) = X16 f(x)= (b) Determine x, and x₂ in terms of c. M = Now drawn to sole (c) Determine M, where M> 0, such that if(x) - LI < c for x > M. N= (d) Determine N, where N < 0, such that If(x)-LI < c for x < N.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 48E
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The graph of f(x) is shown (see figure).
9x2
x² + 4
(a) Find the following limit.
L = lim f(x) =
x18
=
f(x)
2₂
M =
(b) Determine x, and x₂ in terms of c.
4
N =
Now drawn to scale
(c) Determine M, where M > 0, such that If(x) - LI < c for x > M.
(d) Determine N, where N < 0, such that If(x) - LI < c for x < N.
Transcribed Image Text:The graph of f(x) is shown (see figure). 9x2 x² + 4 (a) Find the following limit. L = lim f(x) = x18 = f(x) 2₂ M = (b) Determine x, and x₂ in terms of c. 4 N = Now drawn to scale (c) Determine M, where M > 0, such that If(x) - LI < c for x > M. (d) Determine N, where N < 0, such that If(x) - LI < c for x < N.
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