Question

lim x tends to 0 (sinx cos x )/3x

Answer 1

From what I've been taught in my classes, sinx / x in a limit has a value of 1.
We have not fully covered limits yet, so please rectify any mistakes if you think there are.
Hope this is correct, I'm still unsure about it.

Answer 2

Lim(x →0) (sinx.cosx)/3x
Lim(x→0){(sinx/x).cosx}/3

We know, that
Lim(x→0) sinx/x = 1 use this here,

Lim(x→0) {1 .cos0}/3
Lim(x→0) { 1.1}/3 = 1/3