7. Evaluate the improper integral: 2 5 3 a. b. o (x+ 2)3 C. dx o Vx+s 3 3 (x-3)4 8. Decide if the following series converges or not. Justify your answer using an appropriate test: 9n 5 5 5n n! n+1 n a. Zn=1 35+5 b. C. M: 10" 10" d. Zn=1 725n e. En=1 2n+3. 9. Determine whether the series is absolutely or conditionally convergent or divergent: 10 18 (-1)" a. b. C. E(-1)'5 . d. E(-1)" n' - n-1 7n + 2 1=1 n' 1=1 2n- +n+1 1