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1/(2^X+1)+1/(2^-X+1)
=1/(2^x+1)+1/[(1/2^x)+1]
=1/(2^x+1)+1/[(2^x+1)(2^x)]
=1/(2^x+1)+2^x/(2^x+1)
=(2^x+1)/(2^x+1)
=1
=1/(2^x+1)+1/[(1/2^x)+1]
=1/(2^x+1)+1/[(2^x+1)(2^x)]
=1/(2^x+1)+2^x/(2^x+1)
=(2^x+1)/(2^x+1)
=1
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