User:Simfish/Mathnotes

Ratio test: if converges to a number < 1, then function decreases as an exponential. if converges to 0, then function decreases faster than exponential.if converges to 1, decreases slower than exponential.

lagrange's theorem: GIVEN group and subgroups, figure out order of subgroups partial converse: sylow's theorem, GIVEN groups, there EXIST subgroups