The graph of f(x) is shown (see figure). f(x) = 7x √x²+6 (a) Find the following limits. L = lim f(x) = 7 K = lim f(x) = -7 (b) Determine ×1 X1 Not drawn to scale and X2 in terms of ε. ×2 (c) Determine M, where M > 0, such that |f(x) - L| < ε for x > M. M = × (d) Determine N, where N < 0, such that f(x) - K| < ε for x < N. N =
The graph of f(x) is shown (see figure). f(x) = 7x √x²+6 (a) Find the following limits. L = lim f(x) = 7 K = lim f(x) = -7 (b) Determine ×1 X1 Not drawn to scale and X2 in terms of ε. ×2 (c) Determine M, where M > 0, such that |f(x) - L| < ε for x > M. M = × (d) Determine N, where N < 0, such that f(x) - K| < ε for x < N. N =
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).
f(x) =
7x
√x² + 6
(a) Find the following limits.
L= lim f(x) =
X-∞
7
K = lim f(x) =
-7
<x
00
Not drawn to scale
(b) Determine x₁ and X2 in terms of ε.
× 1 =
أنه
=
(c) Determine M, where M > 0, such that f(x) - L| < ɛ for x > M.
M = -∞
(d) Determine N, where N < 0, such that f(x) - K| < ɛ for x < N.
N = ∞
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