The graph of f(x) is shown (see figure). 6x x² + 1 f(x) (a) Find the following limits. lim f(x)= x → 00 L = = K= lim f(x) = X2 (b) Determine x, and x₂ in terms of . || Not drawn to scale (c) Determine M, where M > 0, such that If(x) - LI < & for x > M. M (d) Determine N, where N < 0, such that f(x) - K| < & for x < N. N =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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The graph of f(x) is shown (see figure).
6x
x² + 1
f(x)
(a) Find the following limits.
lim f(x)=
x → 00
L =
=
K= lim f(x) =
X2
(b) Determine x, and x₂ in terms of .
||
Not drawn to scale
(c) Determine M, where M > 0, such that If(x) - LI < & for x > M.
M
(d) Determine N, where N < 0, such that f(x) - K| < & for x < N.
N =
Transcribed Image Text:The graph of f(x) is shown (see figure). 6x x² + 1 f(x) (a) Find the following limits. lim f(x)= x → 00 L = = K= lim f(x) = X2 (b) Determine x, and x₂ in terms of . || Not drawn to scale (c) Determine M, where M > 0, such that If(x) - LI < & for x > M. M (d) Determine N, where N < 0, such that f(x) - K| < & for x < N. N =
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