Chapter 3.1, Problem 58E

Flash Crash The graph shows a rough representation of the (aggregate) market depth11 of the stocks comprising the S&P 500 on the day of the U.S. stock market crash at 2:45 pm on May 6, 2010, the “Flash Crash” (t is the time of the day in hours, and $m\left(t\right)$ is the market depth in millions of shares).

a. Compute the following (if a limit does not exist, say why):

$\underset{t\to {14.75}^{-}}{\lim }m\left(t\right),$

$\underset{t\to {14.75}^{+}}{\lim }m\left(t\right),$

$\underset{t\to 14.75}{\lim }m\left(t\right),$

$m\left(14.75\right).$

b. What do the answers to part (a) tell you about the market depth?