Correct Answer - Option 4 :
\({\rm{\Psi }}\left( x \right) = A{e^{ - {x^2}}}\)
Ψ (x) = A sec x and Ψ (x) = A tan x is not finite at
\(x = \frac{\pi }{2}\)
\({\rm{\Psi }}\left( x \right) = A{e^{{x^2}}}\) is not finite at x = ± ∞ ;
\({\rm{\Psi }}\left( x \right) = A{e^{ - {x^2}}}\) is finite everywhere is space.