Re: Limit+fractional part


Patrick Coilland wrote:
eugene nous a récemment amicalement signifié :
A N Niel wrote:
In article <1151671442.146228.172730@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
eugene <jane1806@xxxxxxxxxx> wrote:

Here is the limit:

limt_{n -> oo} sqrt(N) * ( 1 - max_{1 <= n <= N} ( sqrt{n} ) ) .

I've got 0 as the value of this limit. Am i right?

Thanks


Your n and N seem confused...

Yes, you are right. Sorry

Here is the limit:

limt_{N -> oo} sqrt(N) * ( 1 - max_{1 <= n <= N} ( sqrt{n} ) ) .

I've got 0 as the value of this limit. Am i right?


I don't understand :
What is "sqrt{n}" ?
Is it the same as "sqrt(n)" ?

This sqrt{n} is the same as sqrt(n), but this

sqrt{n} is in the brackets { ... } which mean the fractional part.

***. { ... } mean the fractional part.



If so :
max_{1 <= n <= N} ( sqrt{n} ) = sqrt(N)

And your limit is :
limit_{n -> oo} sqrt(N) * ( 1 - sqrt(N) ) = -oo


--
Patrick

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