The gravitational force exerted by Earth on a unit mass at a distance $r$ from the center of the planet is $$F(r) = \begin{cases} \displaystyle \frac{GMr}{R^3} & \textrm{if }r < R \\ \\ \displaystyle \frac{GM}{r^2} & \textrm{if }r \geq R \end{cases}$$ Is $F(r)$ continuous at $r = R$?

Answer: ("y" for yes or "n" for no)