Enter a T or an F in each answer space below to indicate whether the corresponding statement is true or false.

A good technique is to think of several examples, especially examples which might show that the statement is false!.

You must get all of the answers correct to receive credit.
1. Every bounded sequence has a subsequence which converges to a limit point.
2. The sequence 1, -1, 2, -1, 3, -1, 4, -1, 5 ... has a finite accumulation point.
3. Every bounded sequence has an accumulation point.
4. If you include infinity then every increasing sequence has a limit.