Decide whether each of the following series converges. If a given series converges, compute its sum. Otherwise, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, and DIV otherwise. Series of this type are known as telescoping series. To see why (and to find the sum and test convergence), write out the first three or four terms and see if anything simplifies·(There should be some cancellation.) 1. (sin(2n) - sin(2(n + 1)
2. (e9n - e9(n + 1)
3. (sin(2/n) - sin(2/n + 1))