(Sample Extra Credit) Use the Root Test or Ratio Test to determine whether the following series converges or diverges. Make sure you show all steps, and that you fully justify all conditions using calculus-based or algebra-based arguments: 7 1(Sample Extra Credit) Consider the series: (2n + 1)n M sin 2 ( Vn + 1 -Vn) 1 1 a. Use the Alternating Series Test to determine if the following series converges or diverges. Make sure you fully justify all conditions for the Alternating Series Test using calculus-based or algebra-based arguments: b. Determine the Absolute Convergence OR Conditional convergence of the above series