Unit 3: Rational Functions x² An interesting example: Consider the rational function f(x) = y = X x²-x-6 x+2 -2.01 We notice that the lim x--2- -2.001 -2.0001 -1.9999 x²-x-6 x+2 and lim x+2 -1.999 x-6 x²-x-6 x--2' x+2 and the lim x-2 -1.99 x=6 x+2 -2-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Unit 3: Rational Functions
An interesting example: Consider the rational function f(x)
y =
X
x²
x-6
x+2
-2.01 -2.001 -2.0001 -1.9999
We notice that the lim
x--2-
x²-x-6
x+2
and lim
x² x-6
x+2
-1.999 -1.99
x-x-6
and the lim
x→-2
X-2* x+2
2
- x-6
x+2
Transcribed Image Text:Unit 3: Rational Functions An interesting example: Consider the rational function f(x) y = X x² x-6 x+2 -2.01 -2.001 -2.0001 -1.9999 We notice that the lim x--2- x²-x-6 x+2 and lim x² x-6 x+2 -1.999 -1.99 x-x-6 and the lim x→-2 X-2* x+2 2 - x-6 x+2
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