Handout 2 Due Friday September 15.

Problem 1
Print out the graph near of the function . Include axes. Explain why the graph suggests that does not exist.

Problem 2

Let . Print out the graphs of near x=0 for k = .1, 1, and 10. Explain why these graphs suggest that does not exist.

Problem 3
Decide which of the following limits exist. If the limit exists, compute it. For each example:

1. Print out a graph supporting your conclusion.
2. Explain without using computer generated pictures why your conclusion is correct.

a)

b)

c)

(Extra Credit)