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Mathematics 15 Online
OpenStudy (lollylau):

1/3+1/1+1/4+1/1+1/5+1/9+... should the answer be infty or indeterminate?

OpenStudy (ash2326):

this sequence has no definite pattern, can't say what will be the answer indeterminate

OpenStudy (lollylau):

its the sum of the reciprocal of the expansion of pi.

OpenStudy (lollylau):

it contains 1/0. (alot of 1/0s.)

OpenStudy (lollylau):

the sum you gave me isn't complete.

OpenStudy (lollylau):

and it shouldn't be :p

OpenStudy (ash2326):

yeah :)

OpenStudy (phi):

Does this help? http://en.wikipedia.org/wiki/Harmonic_series_(mathematics)

OpenStudy (lollylau):

Not really. I know about the harmonic series, and doesn't really help much. The sum contains alot of 1/0s, so I've been wondering what the sum should be.

OpenStudy (phi):

After the ninth term, the harmonic series has numbers less than 1/9 Your series will have a term >= 1/9 If harmonic diverges, and your series has terms > harmonic's then yours must diverge

OpenStudy (lollylau):

Divergence means its indeterminate?

OpenStudy (phi):

Eventually you will get a 1/0 in your series From wikipedia: The expression 1/0 is not commonly regarded as an indeterminate form because there is not an infinite range of values that f/g could approach. i.e. the series diverges to + infinity

OpenStudy (lollylau):

I don't rly understand it, but thanks a lot :)

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