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Math Help - Gravitational Force Calculus problem

  1. #1
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    Gravitational Force Calculus problem

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

    F(r) = GMr/R^3 if r<R
    F(r)= GM/r^2 if R >/= R

    Where M is the mass of the earth, R is its radius, and G is the gravitational constant. Is F a continuous function of r?
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  2. #2
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    Well its deff not continuous at r = 0. What bout r= R? Those should be your 2 checks. Continuity is having the limits approaching from the left and right be equal and defined. So... should be straightforward
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