Best Answer
Using numerical methods (in this case, a computer program) the limit is approximately 0.648721.EDIT: It should be easy to see that active%26#039;s reasoning is flawed. Basic algebra shows that an infinite geometric series with |r| %26lt; 1 has a finite sum.
Other Answers (1)
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Regardless of how arbitrarily small the fraction becomes it is still adding magnitude to the summation. The limit approaches infinite as n approaches infinite.