Series problems --Comparison Tests 1. The problem statement, all variables and given/known data Are the following series convergent or divergent? a. summation (n=1 to infinity) (n-1) / (n^2 * n^(1/2)) b. summation (n=1 to infinity) (n+4^n) / (n+6^n) c. summation (n=1 to infinity) (n+5) / [(n^7 + n^2)^(1/3)] 2. Relevant equations Exclusive use of comparison test and/or limit comparison test 3. The attempt at a solution a. I assume convergence since 1/n term factored out. But, the problem I have here is that n-1 / (n^2 * n^1/2) is less than 1/n so how can n=1 (by the p-test) be convergent?