Bound States of Infinite Square Well

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"pi"mp
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Hi all,
So I was recently set straight on the fact that bound state does *not* necessarily mean E<0 but rather is the statement that E<V(+/- infinity). So how do we apply this definition to the infinite square well where the potential at +/- infinity vanishes, and yet the bound states have positive energy?
Thanks in advance!
 
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The potential of the infinite square well at infinity is infinity?
 
oh god, yes of course. I was confusing it with the w.f. vanishing. Was very tired when i posted! thx