In[1]:= t = Sin[x]/x
Out[1]=
In[2]:= t /. x->0
Out[2]=
In[3]:= t /. x->0.01
Out[3]=
In[4]:= Limit[t, x->0]
Out[4]=
. 
for 
close to 
, however, you get a result that is close to 
. 
as 
approaches 
. The result is indeed 
. 
