Part 1: Please solve the following.

1.

Example Indicate which test should be used to determine whether the series below converges or diverges. n3+2 "=1 7n3+6n2+4 Solution is E b": where Since an is an algebraic function of n, we compare the given series with a p-series. The comparison series for the: 1 . \/ 3 "3,!2 Test for Divergence tan 2 = 3 = . Ratlo Test ?n3 7n lnte gral Test Limit Comparison Test Need Help? _ Find the radius of convergence, R, of the series. 0:: {_ illnxn Z n4 n=l Find the interval, I, of convergence of the series. (Enter veur answer using interval notation.) Find the radius of convergence, R, of the series. (-1)0 30 Vn n=1 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)