Thanks for all the tips, guys. Obviously y'all are better with a chain saw than me. And BamaWV, I have a broken limb in a maple in my front yard, if you would come down and climb the tree and cut it out for me I would really appreciate it. Actually, I just want to watch!
A broken limb hanging looks horrible. A jagged break of a limb is bad for the tree and needs an even, diagonal (to deflect water) cut.