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Infinite Sums

Hey guys, why is it that:

1 + 2 + 3 + ... = -1/12

cause ... = -6.0833333

or =*^2/0

>>1
it doesnt. you might be thinking of another infinate sum who's limit approaches -1/12, though.

1+2+3+.... = infinite

0.1 + 0.01 + 0.001 + ... = 1/9

no i think you mean
(0 + 0.1) - (0.1 + 0.01) - (0.01 + 0.001) - (0.001 + 0.0001) - ... = .000~1

>>6

if the tilde in .000~1 means infinite 0's, then the one can never be reached, or else it would be finite.