Amhuxt.391
net.math
utcsrgv!utzoo!decvax!ucbvax!ihnss!eagle!mhuxt!rwhaas
Wed Mar 17 11:34:57 1982
Re: You Too Can Be A Math Genius
Of course there is nothing wrong with the proof that
999... is equal to 1. In general,
x = a + ar + ar^2 + ...
r*x = ar + ar^2 + ...
and on subtraction,
x(1-r) = a or x = a/(1-r)
the usual sum of a geometric series. In the example given,
take a=.9 and r=.01.
Roy Haas (Bell Labs, Indian Hill)
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