The graph of f(x) is shown (see figure). 5x² f(x): = x2 (a) Find the following limit. L = lim f(x) = x →∞ +² = || +7 (b) Determine x₁ and x₂ in terms of . X₁ 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 If(x) - L| < & for x < N. N =
The graph of f(x) is shown (see figure). 5x² f(x): = x2 (a) Find the following limit. L = lim f(x) = x →∞ +² = || +7 (b) Determine x₁ and x₂ in terms of . X₁ 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 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 (see figure).
5x²
x² + 7
f(x) =
=
(a) Find the following limit.
L = lim f(x) =
x →∞0
(b) Determine X₁ and
X2
=
||
>E
X2
Not drawn to scale
in terms of ε.
(c) Determine M, where M > 0, such that If(x) - LI < & for x > M.
M
(d) Determine N, where N < 0, such that If(x) - L| < & for x < N.
N =
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