When determining whether a series is convergent or not, state the test you use to make the determination and show that the conditions of the test are met. 1. Provide an

example of an alternating series that does not converge even though it meets all the conditions of the Alternating Series Test except the one that anan+1 for all natural numbers n. When you come up with this example, you'll have demonstrated why this condition is needed. 2. Determine whether the series (-1)"- 3. Determine whether the series (-1)" Vn converges. Explain why. converges. Explain why.