Re:Poll: Does point 9 recurring equal one?
by darkxanthos on Tuesday July 07, 2009 @08:22PM
(#692956)
ahhh No the OP was referring to the value at the limit as x->inf of your function f.
huh?
he means f(infinity).
Were not at all dealing with f(very big numbers, increasing)
the function that writes some number of repeating 9's (replacing the zero in the last decimal place with a 9). This function approaches 1, does it not?
f(1) = 0.9
f(2) = 0.99
f(3) = 0.999
so f as defined above approaches 1
I interpreted the question in the context of numerical precision. Since we are usually not dealing with infinite precision, the two are not equal.
I am familiar with the obvious: 1/3 == 0.3333... and 3 * 1/3 == 1 so 0.9999... == 1