rm(list=ls())Chapter 8.8 Problem 24
In Exercises21-24,write out the ???rst 5 terms of the Binomial series with the given k-value. k=4
Given a real number k and nonnegative interger n, the number 4, read “k choose n”, is given by
f(x)=(1+x)^4
f(x)=(1+x)^4x =1+4x+6x^2 +4x^3 +x^4 we know that k=4 and that the maclaurin series for f(x)=(1+x)^k is
1+k+(1+x)^k +k(1+x)^k ???1+ k(k???1)(1+x)^k???2