What is the difference between summing 9/10+9/100+9/1000+.... and the summation process that takes place in an integral? For example, if f(x)=1 and we compute the integral from 0 to 1, the answer is 1. One can argue that we are calculating the area of a square with side 1 unit. Is there a way to show how 0.999... ties into all of this? Evidently the integral by definition is the limit of an infinite average but 0.999... is not an average.
2006-09-07
04:33:18
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2 answers
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asked by
Marianne M
1