1. (5 points) Find the sum of following geometric series (1) -1)n-1. 3 =3 + 3 + ... + (-1)-1.3 + ... 2. (10 points) Show the following series are divergent by the necessary condition of convergence. (1) - 2n + 2 (2) 5n- + 2ra 3. (20 points) Test the convergence by the integral test (1) 8 n2+ 1 (2) 2 (n + 1) 4. (20 points) Test the convergence by the comparison test (1) 2 n=1 (2) n- 5. (30 points) Test the convergence by the ratio test (1) IM (2) (3)6. (15 points) Write down the Maclaurin series of the following functions (1) (2) (3) In (1 + 1)