18. (a) Given a > -1, a 0, use induction to show that (1 + a)" > 1 + na for any integer n > 1. (b) Use (a) to show that,
Posted: Tue Sep 07, 2021 7:49 am
18. (a) Given a > -1, a 0, use induction to show that (1 + a)" > 1 + na for any integer n > 1. (b) Use (a) to show that, for any x > 0, the sequence (1 + (x/n))" increases.