Does each of the following series converge or diverge? Why? Show all your work and MUST include the name of the convergence test you are using. (Your best three answers will be counted toward your grade. The 4th will be for extra credit) Recall: Here is a list of convergence test we have learned so far: I Test of Divergence (or Divergence Test) II Integral Test III Direct/Limit Comparison Test IV Alternating Series Test (AST) V Well-known series V(a) Geometric Series V(b) p-Series n=1 √√√n² + 1 n² +5

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Does each of the following series converge or diverge? Why? Show all your work and MUST include the name of the convergence test you are using. (Your best three answers will be counted toward your grade. The 4th will be for extra credit) Recall: Here is a list of convergence test we have learned so far: I: Test of Divergence (or Divergence Test) II Integral Test III Direct/Limit Comparison Test IV Alternating Series Test(AST) V Well-known series V(a) Geometric Series V(b) p-Series