Mathematics
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OpenStudy (anonymous):
What is the value of this expression when n approaches infinity?
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OpenStudy (anonymous):
\[4-\frac{ 4 }{ n }+\frac{ 5 }{ 9 }+\frac{ 15 }{ 3n^2 }\]
OpenStudy (zale101):
What does this approach \(\Large\frac{1}{\infty}\) ?
OpenStudy (zale101):
Any ideas?
OpenStudy (anonymous):
20
10
5
4
1
OpenStudy (anonymous):
1/infinity=0
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OpenStudy (zale101):
\(\Large\frac{1}{HUGE}=\small small\)
\(\Large\frac{1}{\infty}=\small 0\)
OpenStudy (zale101):
Yes
OpenStudy (zale101):
4/infinity is ?
OpenStudy (anonymous):
?
OpenStudy (zale101):
\(\Large\frac{4}{HUGE}= \small small \) correct?
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OpenStudy (anonymous):
the answer is 4?
OpenStudy (zale101):
if you divide a small number by a very very huge number, the result is small that means it will approach to 0
OpenStudy (anonymous):
I got 4 somehow
OpenStudy (zale101):
infinity is continuous , not a number, but it's very huge. Any number divided by infinity is small, therefore approaches zero.
OpenStudy (zale101):
How did you get 4?
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OpenStudy (anonymous):
4-0+0+15/infinity = 4
OpenStudy (anonymous):
I see a 4.55555555555555555555
OpenStudy (zale101):
\(4−\frac{4}{n}+\frac{5}{9}+\frac{15}{3n^2}=4-0+\frac{5}{9}+0=\frac{41}{9}\)
OpenStudy (anonymous):
I get a 4.555555555555555555555555
OpenStudy (anonymous):
...
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OpenStudy (zale101):
yes, that is correct
OpenStudy (anonymous):
so... is it 4 or 5?
OpenStudy (zale101):
My apologies, i misunderstood you earlier, i thought you were replying to my question regarding 4/infinity and i thought you said that answer was 4.
OpenStudy (zale101):
Your answer is 4.5, round it to 5
OpenStudy (anonymous):
ok