getting Limit[] to evaluate
- To: mathgroup at yoda.ncsa.uiuc.edu
- Subject: getting Limit[] to evaluate
- From: jacobson at cello.hpl.hp.com
- Date: Thu, 01 Nov 90 15:00:00 PST
I wanted to compute the following definite integral, where b > 0
In[1]:= Integrate[x (1-x)^b,{x,0,1}]
Limit::nlm: Could not find definite limit.
1 + b 2 + b
1 1 (1 - x) (1 - x)
Out[1]= ----- - ----- + Limit[-(------------) + ------------, x -> 1]
1 + b 2 + b 1 + b 2 + b
The problem is that it doesn't know that b is not -1 or -2. In this
particular case, I can see "by inspection" that the Limit[...] term
evaluates to zero, but how can I get Mathematica to do this itself?
-- David Jacobson