Chapter 2.3, Problem 78E

Torricelli’s Law A cylindrical tank is filled with water to a depth of 9 meters. At t = 0, a drain in the bottom of the tank is opened and water flows out of the tank. The depth of water in the tank (measured from the bottom of the tank) t seconds after the drain is opened is approximated by d(t) = (3 − 0.015t)², for 0 ≤ 200. Evaluate and interpret $\underset{t\to {200}^{-}}{\lim }d(t)$.