Answer to Question #54901 in Calculus for Gray Merida

Question

Test the series for convergence or divergence
1. Sum of (-1)^(n-1)/(ln(n+4)) with n=1 -> infinite
2. Sum of (-1)^n.n/(sqrt(n^3+2)) with n=1 -> infinite
3. Sum of (-1)^n.sqrt(n)/(2n+3) with n=1 -> infinite
4. Sum of ncos(npi)/(2^n) with n=1 -> infinite