Help, show all work and answer all

n=1 1 1. Find the sum of the following series. 2 n(n + 2) n=1 12. Find the Maclaurin series for f(x) = cos(x) 13. Consider the following limit. x - sin (x) lim 2x3 Use the series to evaluate the limit. 14. Find whether the following series is convergent or divergent. 0o 2n n 3n + 1 n=1