Show that the effect of the ``infinitesimal translation'' operator
on the wave function
is to translate it forward in space by a small distance 
,
Using the idea that any finite distance a may be may up of N tiny
steps of size ( 
for 
and
), derive the form of the finite
translation operator 
which shifts a the wave function by
the finite distance a.
Hint: Recall 
.
Now, using the expansion
the Taylor series
where 
denotes the 
derivative of f(x), and your
result for 1.2, verify that for your translation
operator indeed
