Calculus Special Case Trig Limits

lim sin(ax)/bx
x→0

lim sin(ax)/bx
x→0

a

lim sin(ax)/sin(bx)

x→0

ab

lim tan(ax)/bx

x→0

a/b

lim tan(ax)/tan(bx)
x→0

a/b

lim cot(ax)/cot(bx)
x→0

b/a

(1-cosx)/x

0