Symbolically

It may not be immediately obvious, but this fraction can be reduced: 

[Graphics:../Images/index_gr_74.gif]
[Graphics:../Images/index_gr_75.gif]

This is because [Graphics:../Images/index_gr_76.gif].

Why?

This means we can find the limit by just "plugging in" the [Graphics:../Images/index_gr_77.gif]: 

[Graphics:../Images/index_gr_78.gif]
[Graphics:../Images/index_gr_79.gif]

Also, notice that Mathematica has a built in Limit function: 

[Graphics:../Images/index_gr_80.gif]
[Graphics:../Images/index_gr_81.gif]

Converted by Mathematica      May 12, 2003