(In reply to
re: Solution by Brian Smith)
>It is considered bad practice to use the sum of a series to prove that a sequence converges to 0.
There exists rigorous proof that if a sum series converges, then its limit must be zero. It is a very valid approach to use it, not bad practice.
>Usually it is required to prove the sequence converges to 0 before calculating the sum of an infinite series.
Testing for a zero limit first just makes it potentially faster to find the sum series when that's the goal.
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Posted by Kurious
on 2008-01-07 09:27:06 |