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jimthompson5910 (jim_thompson5910):
yes?
OpenStudy (anonymous):
OpenStudy (anonymous):
sorry it didnt go through
jimthompson5910 (jim_thompson5910):
what is the horizontal asymptote of this whole thing?
jimthompson5910 (jim_thompson5910):
go back to your last post if you aren't sure
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OpenStudy (anonymous):
3 for numerator
OpenStudy (anonymous):
6 for the bottom
jimthompson5910 (jim_thompson5910):
where are you getting those numbers?
OpenStudy (anonymous):
i just added the degrees
jimthompson5910 (jim_thompson5910):
you don't add the degrees
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OpenStudy (anonymous):
ohh is it just the highest on each?
jimthompson5910 (jim_thompson5910):
go back to your last post and read the rules on asymptotes I posted
OpenStudy (anonymous):
i read it... you said degree of the numberator and denominator
jimthompson5910 (jim_thompson5910):
ok what about them?
OpenStudy (anonymous):
what is the degree
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jimthompson5910 (jim_thompson5910):
you tell me, what is the degree of the numerator? the denominator?
OpenStudy (anonymous):
im saying thats what you said!!
OpenStudy (anonymous):
numerator is 2 denom. is 3
jimthompson5910 (jim_thompson5910):
so what rule will you use?
OpenStudy (anonymous):
does not have a horizontal asymptote
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jimthompson5910 (jim_thompson5910):
why not?
OpenStudy (anonymous):
numerator is less than denominator
jimthompson5910 (jim_thompson5910):
I said on that post
"since (degree of numerator) > (degree of denominator) this means that you will NOT have a horizontal asymptote"
OpenStudy (anonymous):
oh
jimthompson5910 (jim_thompson5910):
I also added
"the only time you have a horizontal asymptote is when
a) degree of numerator = degree of denominator
OR
b) degree of numerator < degree of denominator"
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jimthompson5910 (jim_thompson5910):
when case b) occurs, the horizontal asymptote is always y = 0 since y tends to approach zero as x --> +- infinity
jimthompson5910 (jim_thompson5910):
you can look at examples like 1/x
1/2 = 0.5
1/20 = 0.05
1/200 = 0.005
1/2000 = 0.0005
1/20000 = 0.00005
and so on
OpenStudy (anonymous):
okk
OpenStudy (anonymous):
wait what does this have to do with evaluating it..
OpenStudy (anonymous):
@Loser66
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OpenStudy (anonymous):
@ganeshie8
jimthompson5910 (jim_thompson5910):
notice in my example how 1/x ---> 0 as x --> infinity
jimthompson5910 (jim_thompson5910):
same idea with your expression
OpenStudy (anonymous):
ohh so it is just infinity?
OpenStudy (anonymous):
ohhh i understand
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OpenStudy (anonymous):
would it be nfinity? @ganeshie8
ganeshie8 (ganeshie8):
degree of denominator is greater so the denominator grows faster
OpenStudy (anonymous):
so infinity?
ganeshie8 (ganeshie8):
the effect would be something like this :
1/2 = 0.5
1/20 = 0.05
1/200 = 0.005
1/2000 = 0.0005
1/20000 = 0.00005
ganeshie8 (ganeshie8):
think a bit,
if the denominator of a fraction is increasing, how can the value become infinity ?
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ganeshie8 (ganeshie8):
if you have 10 chocolates and you want to distribute them to 10 friends,
how maqny chocolates each of them would get ?