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Mathematics 21 Online
OpenStudy (anonymous):

Evaluate the following infinite series\[\sum_{n=1}^{\infty}{\frac{1}{n^3}}\]

OpenStudy (anonymous):

1

OpenStudy (anonymous):

since 1/infinity =0!!!

OpenStudy (zarkon):

it converges p-series

OpenStudy (anonymous):

it converges, but to what value?

OpenStudy (zarkon):

I don't believe the exact value is known

OpenStudy (anonymous):

cool so If I find it, do i win money?

OpenStudy (anonymous):

the 10000000th partial sum is 1.202056903150321

OpenStudy (anonymous):

but we usually consider 1/infinity as 0!!!!

OpenStudy (anonymous):

what does 1/infinity have to do with this problem?

OpenStudy (anonymous):

look !!! ur question involves this term right!!!!

OpenStudy (jamesj):

No, it doesn't.

OpenStudy (anonymous):

|dw:1319202334345:dw| approximate ans

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