Problem 1

Let

(a). Find a Ray Approaching the Origin along Which

(b). Find a Ray Approaching the Origin along Which

(c). What Does the above Work Show about a Limit of

It shows that the limit does not exist as we get different values depending on the direction we approach from.

Problem 2

Compute the following limits or explain why they do not exist.

(a).

The limit does not exist as it depends on the direction of approach .

(b).

(c).

Along the x-axis

Along the y-axis

The limit does not exist as depending on the axis you approach from it takes different values.