The graph of f(x) is shown (see figure). 5x² x² + 7 f(x) = x 3₂ 31 (a) Find the following limit. L = lim f(x) = Not drawn to scale

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The graph of f(x) is shown (see figure).
5x²
x² + 7
(a) Find the following limit.
L = lim f(x)
x-00
(b) Determine
X1
x2
=
=
f(x) =
M =
3₂
xand.
N =
x₂
31
Not drawn to scale
(c) Determine M, where M > 0, such that If(x) - L| < & for x > M.
in terms of 8.
(d) Determine N, where N < 0, such that If(x) — LI < & for x < N.
Transcribed Image Text:The graph of f(x) is shown (see figure). 5x² x² + 7 (a) Find the following limit. L = lim f(x) x-00 (b) Determine X1 x2 = = f(x) = M = 3₂ xand. N = x₂ 31 Not drawn to scale (c) Determine M, where M > 0, such that If(x) - L| < & for x > M. in terms of 8. (d) Determine N, where N < 0, such that If(x) — LI < & for x < N.
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