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Mathematics 7 Online
OpenStudy (anonymous):

What is the value of this expression when n approaches infinity?

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

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?

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?

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):

...

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

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