The graph of f(x) is shown (see figure). 2x² x² + 6 f(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The graph of f(x) is shown (see figure).
2x²
x² + 6
(a) Find the following limit.
L = lim f(x) =
x →∞0
X1 =
x2 =
f(x) =
x₂
(b) Determine X₁ and x₂ in terms of .
M =
x₁
N =
Not drawn to scale
(c) Determine M, where M > 0, such that f(x) - L| < & for x > M.
(d) Determine N, where N < 0, such that If(x) — L| < & for x < N.
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