Paul can write polynomial (x+1)n, expand and simplify it, and after that change every coefficient by its reciprocal. For example if n=3 Paul gets (x+1)3=x3+3x2+3x+1 and then x3+31x2+31x+1. Prove that Paul can choose n for which the sum of Paul’s polynomial coefficients is less than 2.022. binomial coefficientsalgebra