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

Question

ash2326 · Answer

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

lollylau · Answer

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

ash2326 · Answer

check this out http://www.wolframalpha.com/input/?i=1%2F3%2B1%2F1%2B1%2F4%2B1%2F1%2B1%2F5%2B1%2F9%2B...+&cdf=1

lollylau · Answer

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

lollylau · Answer

the sum you gave me isn't complete.

lollylau · Answer

and it shouldn't be :p

ash2326 · Answer

yeah :)

phi · Answer

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

lollylau · Answer

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.

phi · Answer

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

lollylau · Answer

Divergence means its indeterminate?

phi · Answer

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

lollylau · Answer

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