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jimthompson5910 (jim_thompson5910):
x is nowhere to be found in that expression
did you mean n instead of x?
OpenStudy (anonymous):
yea sorry
jimthompson5910 (jim_thompson5910):
that's ok
OpenStudy (anonymous):
he can help more than i can sorry
jimthompson5910 (jim_thompson5910):
Notice how the degree of the numerator (2) is equal to the degree of the denominator (also 2). So that means that as n approaches infinity, it will equal the ratio of the leading coefficients. In other words, you divide 6 by k to get 6/k, then you set this equal to the given limit 1/2 and solve for k
so...
6/k = 1/2
6*2 = k*1
12 = k
k = 12
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OpenStudy (anonymous):
its ok thank you
OpenStudy (anonymous):
so pretty much the infinities cancel out
jimthompson5910 (jim_thompson5910):
in a sense, yes
OpenStudy (anonymous):
thanks, you are awesome. one more problem and im done for my quarter project
jimthompson5910 (jim_thompson5910):
you're welcome
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