I would like, if possible, to obtain a proof of the theorem below.
"Being given real numbers a and b, with |a|>|b|, and m is a positive integer, the order p, which occupies the maximum term (in absolute value) the development of power (a+b)^(-m) , according to decreasing powers of a, is given by:
p = 1 + integer part of [|b|(m-1)/(|a|-|b|)]
When the expression |b|(m-1)/ (|a|-|b|) is an integer, then there are maximum two terms (in absolute value): they are of order p and p-1. "
Already, most grateful.
Rio de Janeiro, Brazil