Problem 3. Find the horizontal and vertical asymptotes of the following functions: 1. f(x) 3ex +5e-х 7e-2e- = 2. g(x) = = x²+x+1 2x²-3x+1 Problem 4. Show that each function has a real root in the interval I = [0, 1] 1. f(x) = x³ + x − 1 - 2. g(x) = e = 3x -

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 3. Find the horizontal and vertical asymptotes of the following functions:
1. f(x) = ³²+5=
+50-х
7e-2e-x
2. g(x) =
-
x²+x+1
2x²-3x+1
Problem 4. Show that each function has a real root in the interval I = [0, 1]
1. f(x) = x³ + x −1
2. g(x) = e = 3x
Transcribed Image Text:Problem 3. Find the horizontal and vertical asymptotes of the following functions: 1. f(x) = ³²+5= +50-х 7e-2e-x 2. g(x) = - x²+x+1 2x²-3x+1 Problem 4. Show that each function has a real root in the interval I = [0, 1] 1. f(x) = x³ + x −1 2. g(x) = e = 3x
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