how to show that f is a surjection

From: geffi (geffi_at_wp.pl)
Date: 10/30/04 

Date: 30 Oct 2004 14:26:58 -0700

f is supposed to be a mapping from 2^N, i.e. the set of all
subsets of the natural numbers, defined by f(A) = sum_{n in A}
(1/2)^n.
That would be a surjection of 2^N on [0,1].. how to show taht f is a
surjection., is it ok../ let x belongs to (0,1]. now i show that
n,that 1/2^n = x (or sum(n=1 to infinity) 1/2^n =x ??? ). so n=log_2
1/x. is is ok ?

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