Enter a T or an F in each answer space below to indicate whether the corresponding statement is true or false. A statement is true only if it is true for all possibilities. You must get all of the answers correct to receive credit.

1. If [math] exists, then the limit is [math]
2. If [math] and [math], then [math] does not exist
3. If [math] exists, then then the limit [math] is [math]
4. If [math] and [math], then [math] does not exist
5. If [math] and [math], then [math]