(In reply to
re(3): Reason why sum of limits is not same as limit as sums by Bob)
The problem with taking the limit individually and then summing, is as n goes to infinity, there are an infinite number of terms. So in effect, you're trying to multiply zero by infinity.
If all the terms were 1/n, the sum would be 1. If all the terms were 1/2n, the sum would be 1/2. So the answer must lie somewhere in between.
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Posted by Gamer
on 2008-09-29 17:12:05 |
An easy way to bound the answer
