θ→0
lim

θ 2
sin(4θ)sin(5θ)


= θ→0
lim

θ
sin(40)

⋅ 4
4

⋅ θ→0
lim

θ
sin(5θ)

⋅ 5
5

=4⋅5=20

please explain this. what is this shortcut? why is there a 4/4 and 5/5 multiplied?