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## Homework Statement

Show that [tex]\widehat{A}\Psi(x) = \Psi(x + b)[/tex], where [tex]b[/tex] is a constant.

## Homework Equations

Given: [tex]\widehat{A} = exp(b[d/dx])[/tex]

## The Attempt at a Solution

I know I'm supposed to write out the function as a power series expansion, though I'm not sure what I am exactly to do after this. What is (d/dx) of? What information do the above expressions convey?