** 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:

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

- a)
- b)
- c)
- (Extra Credit)