Which of the following wave function is acceptable as the solution of the Schrodinger equation for all values of x?

1
Ψ (x) = A sec x
2
Ψ (x) = A tan x
3
\({\rm{\Psi }}\left( x \right) = A{e^{{x^2}}}\)
4
\({\rm{\Psi }}\left( x \right) = A{e^{ - {x^2}}}\)

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