Chapter 12.4, Problem 97E

(a)

To determine

To find: The value of the x-cordinates of the point of intersection of H and line l as a function of m and find the points for which there exist two intersection points.

(b)

To determine

To evaluate: The limits of $\underset{m\to 1^{+}}{\lim }u\left(m\right)$ and $\underset{m\to 1^{+}}{\lim }v\left(m\right)$.

(c)

To determine

To evaluate: The limits of $\underset{m\to \infty }{\lim }u\left(m\right)$ and $\underset{m\to \infty }{\lim }v\left(m\right)$.

(d)

To determine

To evaluate: The limit $\underset{m\to \infty }{\lim }A\left(m\right)$ and interpret its meaning.