Another continuity problem!

[jeca86]

The gravitational force exerted by Earth on a unit mass at a distance r from the center of the planet is

(the following is a piecewise function)
F(r)= GMr/R^3 if r<R
F(r)= GM/r^2 if r>(or equal to) R

wher M is the mass of Earth, R is its radius, and G is the gravitational constant. Is F a continuous function of r?

 

[stapel]

For the function to be continuous, it would have to "meet" in the middle. So what is the value of F(R)? And, if you plugged "R" in for "r" in the first half of the function, what would you get? So do the halves "meet" in the middle?

Eliz.