If f(x) = amx + am-12-1 +... •+ a₁x + av bæn +b₁-12-1+... thi tho lim f(x) = lim If [Select] a [Select] If [Select] amxm ban am y = is a [Select] b₁ If [Select] and lim f(x) = lim " with am 0 and b, 0, then 20₁ m amx" = , then lim f(x) = lim f(x) = 0, and the line y ✓ asymptote of f(x). then lim f(x) lim f(x)= asymptote of f(x). am depending on m, n, am and b, and f(x) does not have a [Select] asymptote. b₁ -, and the line , then lim f(x) and lim f(x) will be ∞ or -00, x-x0 z→ ∞ 0 is

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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m > n, m=n,  m < n

horizontal or vertical

m > n , m < n , m = n

vertical or horizontal

m = n, m > n,  m < n

vertical or horizontal

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If f(x)=
lim f(x) = lim
amx+am-1xm-1 +... + a₁x + av
bræn +bn-12-1+... thi tho
If [Select]
a
[Select]
If [Select]
Y
am
b₁
If [Select]
amxm
200 ban
is a [Select]
and lim f(x) lim
z∞
-
, then lim f(x) =
Z-00
asymptote of f(x).
with am #0 and b₁ #0, then
amt
b₁x
lim_ f(x) = 0, and the line y
*→→∞0
am
then lim f(x) = _lim_f(x) = and the line
b₁
asymptote of f(x).
*
then lim f(x) and lim f(x) will be ∞ or -∞,
x-00
z→ ∞
depending on m, n, am, and b, and f(x) does not have a [Select]
asymptote.
0 is
Transcribed Image Text:If f(x)= lim f(x) = lim amx+am-1xm-1 +... + a₁x + av bræn +bn-12-1+... thi tho If [Select] a [Select] If [Select] Y am b₁ If [Select] amxm 200 ban is a [Select] and lim f(x) lim z∞ - , then lim f(x) = Z-00 asymptote of f(x). with am #0 and b₁ #0, then amt b₁x lim_ f(x) = 0, and the line y *→→∞0 am then lim f(x) = _lim_f(x) = and the line b₁ asymptote of f(x). * then lim f(x) and lim f(x) will be ∞ or -∞, x-00 z→ ∞ depending on m, n, am, and b, and f(x) does not have a [Select] asymptote. 0 is
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