Homework Statement
Use the binomial expansion (1± x)n = 1± nx + (n(n-1)/2) x2 ±....
to show that the value of g is altered by approximately Δg ≈ -2g(Δr/rE) at a height Δr above the Earth's surface, where rE is the radius of the Earth, as long as Δr<<rE
Homework Equations
g=GM/r2
The Attempt...