Question

Verify that ( f(z)=1/z ) is analytic for ( z≠ 0 ) using the polar form of the CR equations, i.e.
( ur=1/rvθ ) and ( uθ=-rvr ).
a) ( ur=1/rvθ )
b) ( uθ=-rvr )
c) ( ur=-1/rvθ )
d) ( uθ=rvr )