suppose {fn} is subset of L+ , fn converges to f pointwise, and 
  integral f = lim integral fn < infinity. Then  
   integral to the base E f = lim integral to the base E fn for all E
belongs to Script M.

   

   how ever this need not be true if integral f = lim integral fn =
infinity.

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Request for Question Clarification by xargon-ga on 03 Dec 2002 17:53 PST

What is meant by "integral to the base E"?  Do you mean the integral
of the natural logrithm?

Also, I am unsure as to what exactly you are looking for.  Do you want
a certain statement proven?  Thanks!

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Clarification of Question by madukar-ga on 05 Dec 2002 12:37 PST

here it is integral f over E and M is measurable. and the given statement is 
suppose {fn} is subset of L+ , fn converges to f pointwise, and  
  integral f = lim integral fn < infinity.

  we have to prove that integral f over E = lim integral fn over E.