Re: Coverge or diverge

In article <7eool3thd4f9rbm178aljijr921dleqvil@xxxxxxx>,
quasi <quasi@xxxxxxxx> wrote:

On Sun, 09 Dec 2007 21:28:43 GMT, "klebbam" <u39753@uwe> wrote:

klebbam wrote:
What test do I use to prove the limit of n/(n+1) converges to one (1)?
Is it the limit conparison test?
can't use ratio or root test bacause p=1

It's a sequence, not a series, so none of the tests you mentioned
applies.

Moreover, limits don't converge. You can say,
"the limit of n / (n + 1) [as n -> infinity] *is* 1"
or you can say,
"n / (n + 1) converges to 1 [as n -> infinity]"
but you can't say "the limit converges to 1."

--
Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)
.

Relevant Pages

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