Comment-continued

Hi Luke! Thanks for your comments. It’s interesting that I am getting somewhat different results:
In[]:=
Limit[x/IntegerPart[x],x->n]
Out[]=
n
IntegerPart[n]
In[]:=
Limit[x/IntegerPart[x],x->n,Direction->"FromAbove"]
Out[]=
n
IntegerPart[n]
In[]:=
Limit[x/IntegerPart[x],x->n,Direction->"FromBelow"]
Out[]=
n
IntegerPart[n]
In[]:=
g[n_]:=
n
IntegerPart[n]
In[]:=
g/@{-2,-1,0,1,2,3,4}
Power
:Infinite expression
1
0
encountered.
Infinity
:Indeterminate expression 0ComplexInfinity encountered.
Out[]=
{1,1,Indeterminate,1,1,1,1}