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3 x³+x²–2x x²-1 = Let f(x) the singularity. (a) Find all the singularity points and state the type of (b) Does this rational function has a slant asymptote? If it does, what is the slant asymptote? (c) Find all zero of the rational function.

3 x³+x²–2x x²-1 = Let f(x) the singularity. (a) Find all the singularity points and state the type of (b) Does this rational function has a slant asymptote? If it does, what is the slant asymptote? (c) Find all zero of the rational function.

Advanced Engineering Mathematics
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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7 3 Let f(x) = x³+x²–2x Find all the singularity points and state the type of the singularity. (b) Does this rational function has a slant asymptote? If it does, what is the slant asymptote? (c) Find all zero of the rational function. (d)Use the information you obtain above, draw the graph of the rational function.
Transcribed Image Text:7 3 Let f(x) = x³+x²–2x Find all the singularity points and state the type of the singularity. (b) Does this rational function has a slant asymptote? If it does, what is the slant asymptote? (c) Find all zero of the rational function. (d)Use the information you obtain above, draw the graph of the rational function.
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