Mini quiz #1

(Sept.14.2000)

TRUE OR FALSE ? (do not justify your answer)

1. If , then for every there is a number such that whenever we must have . TRUE

2. If and are convergent and if (strict inequality) for all positive integers , then (strict inequality). FALSE

3. If a sequence converges, then the sequence also converges. TRUE

4. If all the time, then the sequence converges. FALSE

5.If the sequence decreases all the time (i.e., if all the time), then the sequence converges. FALSE