Mathematica 9 is now available
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Mathematica >

Limits

Here is the expression sin (x)/x.
In[1]:=
Click for copyable input
Out[1]=
If you replace x by 0, the expression becomes 0/0, and you get an indeterminate result.
In[2]:=
Click for copyable input
Out[2]=
If you find the numerical value of sin (x)/x for x close to 0, however, you get a result that is close to 1.
In[3]:=
Click for copyable input
Out[3]=
This finds the limit of sin (x)/x as x approaches 0. The result is indeed 1.
In[4]:=
Click for copyable input
Out[4]=
Limit[expr,x->x0]the limit of expr as x approaches x0

Limits.

Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team