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Plotting asymptotes as custom style

Javad Emami
Posted 9 years ago

I use the plot command as follows

Plot[(x^3-9x)/(x^2-1),{x, -10,10}]

the function has two vertical Asymptote x=-1 and x=+1. Mathematica plots the function correctly . What I want to do is to plot the asymptotes as a dashed rather than a solid line. I appreciate any help. Can this be done interactively? If so, - how? I am using Mathematica 10.

Thanks, JME
POSTED BY: Javad Emami
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Reading documentation really helps (search for asymptotes). Also searching internet does. Little effort would lead to something like this:

Plot[(x^3 - 9 x)/(x^2 - 1), {x, -10, 10},
 Exclusions -> {-1, 1},
 ExclusionsStyle -> Dashed,
 PlotTheme -> "Detailed"]

enter image description here
POSTED BY: Sam Carrettie
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