--- <dasimov@earthlink.net> wrote:

If you haven't seen this one before, it's worth a try:

(Provenance to be provided with solution.)

<< For positive x<1, consider the alternating sum S(x) = x - x2 + x4 - x8 + x16 - x32 + - ... Does S(x) approach a limit as x approaches 1 from below, and if so what is this limit?

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--Dan

f(x) + f(x^2) = x. Let x --> 1. 2 limit = 1. limit = 1/2. Gene __________________________________ Yahoo! Mail Mobile Take Yahoo! Mail with you! Check email on your mobile phone. http://mobile.yahoo.com/learn/mail