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Mathematics
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OpenStudy (iwanttogotostanford):
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OpenStudy (iwanttogotostanford):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
So we're dealing with this?
\[\Large f(x) = \frac{x+9}{x^2+2x+3}\]
OpenStudy (iwanttogotostanford):
sort of, what i got from the diagram is that my problem IS a horizontal asymptote, is that right?
jimthompson5910 (jim_thompson5910):
which case will apply here? 1? 2? 3?
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OpenStudy (iwanttogotostanford):
and that I'm not sure of..
jimthompson5910 (jim_thompson5910):
is n < m true?
is n = m true?
is n > m true?
OpenStudy (iwanttogotostanford):
its either x, 0, or 9
OpenStudy (iwanttogotostanford):
m>n
jimthompson5910 (jim_thompson5910):
think of \(\Large x+9\) as \(\Large x^1+9\)
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jimthompson5910 (jim_thompson5910):
yes or n < m
OpenStudy (iwanttogotostanford):
yes
jimthompson5910 (jim_thompson5910):
since n < m, this means that the x axis is the horizontal asymptote
that's another way of saying "the equation y = 0 is the horizontal asymptote"
OpenStudy (iwanttogotostanford):
oh, so thats it y=0 is the horizontal asymptote? That makes a lot of sense!
jimthompson5910 (jim_thompson5910):
y = 0 lies perfectly on top of the x axis
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OpenStudy (iwanttogotostanford):
so its right? and can i have help with one more??
jimthompson5910 (jim_thompson5910):
sure
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