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If (1+x)^n=C0+C1x+C2x^2+……..+Cnx^n, show...

If `(1+x)^n=C_0+C_1x+C_2x^2+……..+C_nx^n`, show that `C_1/2+C_3/4+C_5/6+………..= (2^n-1)/(n+1)`

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