hi ,

is exp z / sin z a pole or singularities or neither ??

applying pole test,

lim z-->0

(z-0)( exp z / sin z)

= z*expz / sin z

sub 0 into equation, achieve 0 / 0,

using hopital rule, i get ( z*exp z + exp z ) / cos z

= 1 <--- can i conclued it's a pole ?

If i have to apply hopital rule and achieve a constant, does that mean that it's always a RS ??

many thanks ?