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1.5.10 Limits
Here is the expression 
.
In[1]:= t = Sin[x]/x
Out[1]= 
If you replace x by 0, the expression becomes 0/0, and you get an indeterminate result.
In[2]:= t /. x->0
1
Power::infy: Infinite expression - encountered.
0
Infinity::indet: Indeterminate expression 0 ComplexInfinity encountered.
Out[2]= 
If you find the numerical value of  for  close to  , however, you get a result that is close to 
.
In[3]:= t /. x->0.01
Out[3]= 
This finds the limit of  as  approaches  . The result is indeed 
.
In[4]:= Limit[t, x->0]
Out[4]= 
Limits.
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT. SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION. | |
