Is ψ(x) = A/(x - ik) a Valid Wave Function?

[mclame22]

ψ(x) = A/(x - ik) over the region x = -∞ to ∞

A and k are constants, and i is √-1. I'm not sure if this is a valid wave function or not. I know that ψ must be continuous "everywhere," but this function does not exist for x = ik. But x only takes on the form of real numbers over the interval -∞ to ∞. Any help is greatly appreciated.

 

[dextercioby]

What's the mathematical condition for a wavefunction to be valid ? Please, search your notes for this.