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

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

Mathematics
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this sequence has no definite pattern, can't say what will be the answer indeterminate
its the sum of the reciprocal of the expansion of pi.
check this out http://www.wolframalpha.com/input/?i=1%2F3%2B1%2F1%2B1%2F4%2B1%2F1%2B1%2F5%2B1%2F9%2B...+&cdf=1

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it contains 1/0. (alot of 1/0s.)
the sum you gave me isn't complete.
and it shouldn't be :p
yeah :)
  • phi
Does this help? http://en.wikipedia.org/wiki/Harmonic_series_(mathematics)
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
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
Divergence means its indeterminate?
  • 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
I don't rly understand it, but thanks a lot :)

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