# Quiz 4 (Solution)

Date: MATH 1210-4 - Spring 2004

1. . Give an - proof of this fact.

Given we have to find so that if , then .

We have

Now, , so that if we take .

All together, for , if we have .

2. Knowing that and , use properties of the limit operation to find

Since the expression is a quotient, we compute the limit of the quotient as the quotient of the limits, provided that the limit in the denominator is (this will become clear in the computation).

Javier Fernandez 2004-02-13