Homework #12 Limits at Infinity Read section 3.1 Exercises from the text: Pages 123-125: #1, #2, #4, #5 a,f,k, #7, #8 b,e, #12 Here are some more exercises in thought and logic that you will most certainly find interesting. 1. Suppose that an diverges to and Lim f (an ) A . Is it necessarily true that n Lim f ( x ) A ? If not, can you put conditions on either an and/or f that will x guarantee this result? 2. Prove: If f has a domain D that is not bounded above and Lim f ( x ) exists and is x finite, then there exists a real number B such that f ( x) : x D [ B, ) is bounded.