Finding a limit with a natural log and a trig function

[bwooten2432]

Problem is lim (as x approaches pi from the left) ln(sinx).

I think I can use the squeeze thm. But what I can't wrap my head around is that its the natural log of a trig function so they are kind of a combined thing.

I have this
-1<sinx<1

But then I realized that they are together and can not be broken down individually.
Just a few hints should get me on my way.
Thanks

 

[pka]

Problem is lim (as x approaches pi from the left) ln(sinx).
I have this
-1<sinx<1

This is a one sided limit.
As \(\displaystyle x\to\pi^-\) we have \(\displaystyle \sin(x)\to 0^+\)