This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)

Documentation / Mathematica / The Mathematica Book / A Practical Introduction to Mathematica / Symbolic Mathematics /

1.5.11 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

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.