In the lecture notes, the doublet potential

$w=\frac{}{2z}$

was derived by combining a source and a sink on the real $(x)$ axis. Prove that the

same potential can also be obtained by superposing a clockwise vortex of circulation

$-$ on the imaginary $(y)$ axis at $y=,$ and a counterclockwise vortex of circulation

$$ at $y=-,$ and then letting $0.$ Note that we can use $2=$ as a constant.