The graph of f(x) is shown. 9x² x² +9 f(x)= = (a) Find the following limit. L = lim f(x) = X→∞0 * *1 (b) Determine x₁ and X1 = X2 X2 x Not drawn to scale in terms of ε. (c) Determine M, where M > 0, such that If(x) - L| < & for x > M. M = (d) Determine N, where N < 0, such that If(x) - L < & for x < N. N =
The graph of f(x) is shown. 9x² x² +9 f(x)= = (a) Find the following limit. L = lim f(x) = X→∞0 * *1 (b) Determine x₁ and X1 = X2 X2 x Not drawn to scale in terms of ε. (c) Determine M, where M > 0, such that If(x) - L| < & for x > M. M = (d) Determine N, where N < 0, such that If(x) - L < & for x < N. N =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.1: Limits
Problem 59E
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Transcribed Image Text:The graph of f(x) is shown.
9x²
x² +9
f(x):
=
(a) Find the following limit.
L = lim f(x) =
X→∞
x2
(b) Determine X1 and
X1 =
x2 =
X2
X₁
Not drawn to scale
in terms of ε.
(c) Determine M, where M > 0, such that If(x) - L| < & for x > M.
M =
(d) Determine N, where N < 0, such that f(x) - L < & for x < N.
N =
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