Question: 1 5. For the series i=1 (i+1) write down the sequence of summands, find its limit. Write down the sequence of partial sums (calculate

1 5. For the series i=1 (i+1) write down the sequence of summands, find its limit. Write down the sequence of partial sums (calculate it exactly), find its limit as well. This will be the sum of the series. 4i 6. For the seriesi=25i+1 25 81 7. Evaluate 35i find the limit of the sequence of summands and evaluate the series. 8. Formulate Limit comparison test, comparison test and integral tests (write them down). Use all three 1 tests, to show whether the series n=1 m + converge or diverge. (-1)i 9. Does alternating series test allow us to conclude that the series i=12+1 converge? sin(i) i2 10. Does the series 1 converge absolutely?

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