Comment Re:A question about hypersphere volumes (Score 1) 222
n=0: x
n=1: - cos(x)
n=2: x/2 - sin(2x)/4
n=3: 1/3 * (cos(x))^3 - cos(x)
n=4: (sin(4 x) - 8 sin(2 x) + 12 x)/32
And then to really bake your noodle, look at those results. Because you are getting your constant from these (to find the 'volume'). What happens as n approaches infinity? Yeah....volume goes to zero. That scares the Hell out of me...
n=1: - cos(x)
n=2: x/2 - sin(2x)/4
n=3: 1/3 * (cos(x))^3 - cos(x)
n=4: (sin(4 x) - 8 sin(2 x) + 12 x)/32
And then to really bake your noodle, look at those results. Because you are getting your constant from these (to find the 'volume'). What happens as n approaches infinity? Yeah....volume goes to zero. That scares the Hell out of me...
