Particle in a box with non-flat bottom

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Homework Statement



please see q attached..


Homework Equations





The Attempt at a Solution



Ok so I've shown that all the first order energy shifts are zero. I'm just not sure what the simple explanation for this is...?


THanks!
 
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also - another question says: discuss the constrains on W for perturbation theory to be asuitable approx method.

What can i say beyond W must be small? anything else..?

Thanks