(1+1/2)(1+1/4)(1+1/16)(1+1/256)
=2*(1-1/2)(1+1/2)(1+1/4)(1+1/16)(1+1/256)
=2*(1-1/4)(1+1/4)(1+1/16)(1+1/256)
=2*(1-1/16)(1+1/16)(1+1/256)
=2*(1-1/256)(1+1/256)
=2*(1-1/(256*256))
=...
(1+1/2)(1+1/4)(1+1/16)(1+1/256)
=2*(1-1/2)(1+1/2)(1+1/4)(1+1/16)(1+1/256)
=2*(1-1/4)(1+1/4)(1+1/16)(1+1/256)
=2*(1-1/16)(1+1/16)(1+1/256)
=2*(1-1/256)(1+1/256)
=2*(1-1/(256*256))
=...