How does Limit in mma work?
- To: mathgroup at yoda.physics.unc.edu
- Subject: How does Limit in mma work?
- From: ken yip <yip-ken at cs.yale.edu>
- Date: Thu, 19 Sep 91 18:32:00 EDT
I was trying to understand how mma deals with the improper integral
Integrate[Sqrt[(x + 1)/(1 - x )], {x,-1,1}]
It seems to get stuck while evaluating the limit:
In[22]:= Integrate[Sqrt[(x + 1)/(1 - x )], {x,-1,b}]
Sqrt[1 - b]
Out[22]= Pi - Sqrt[2 - (1 - b)] Sqrt[1 - b] - 2 ArcSin[-----------]
Sqrt[2]
In[23]:= Limit[%, b->1]
Can anyone explain to me why it has trouble?
Ken