MATH 316 Lecture : homework 2

PROBLEM 1 Given: y(k)-3y(k-1)+2y(k -2) 2u(k1)-2u(k-2) where [k, k20, 11(k) =10, k

In problems 11 - 16, decide if the series converges conditionally, absolutely, or diverges 1)1A k In A k -In k k=2 -1 15. Σ(-1)" (VE41-VE) 12 (k + 1) tan-i k-1 3cos(k/3) k! 13. 16 2k2 -1 k=1 -1

If ak-2 and 2 bk 36, find the following values. k=1 k=1 4ak» ak + b ak TDk). k 1 k=1 k=1 k=1 k=1 k=1 (Simplify your answer.)