1. about limit with log plz

hello everyone

my sister asks me to help her to solve these limitation

I'm a mathematics teacher but unfortunately, I forgot those rules to solve them since I was student

so could u plz help me

the question : simplify and solve :

1) lim (n^2)/(n*log(n^3))

2) lim n*log(n^3)/n*log(n)

3) lim n*log(n^3)/n

all of them when the limit goes to infinity

thanks

AFAF

2. Re: about limit with log plz

Originally Posted by afafazaid
I'm a mathematics teacher but unfortunately, I forgot those rules to solve them since
That scares me to death.

Originally Posted by afafazaid
1) lim (n^2)/(n*log(n^3))
2) lim n*log(n^3)/n*log(n)
3) lim n*log(n^3)/n
all of them when the limit goes to infinity
$\displaystyle \frac{n^2}{n\cdot\log(n^3)}=\frac{n}{3\log(n)}$

$\displaystyle \frac{n\log(n^3)}{n\log(n)}=3$

$\displaystyle \frac{n\log(n^3)}{n}=3\log(n)$

3. Re: about limit with log plz

thanks a lot

I'm really appreciated ur gr8 job

when I read ur answer I remembered the solution and understood the steps

u r wonderful

AFAF

4. Re: about limit with log plz

It is really sad that a teacher, of any subject, cannot do simple mathematics or write a grammatically correct sentence.

5. Re: about limit with log plz

Originally Posted by HallsofIvy
It is really sad that a teacher, of any subject, cannot do simple mathematics or write a grammatically correct sentence.
1. Most people do not write grammatically on the internet, especially when writing very quickly. If the OP is a teacher, then his/her time is probably very limited.

2. It's a sad fact, but unfortunately there is a massive shortage of mathematics teachers, so a significant proportion (in Australia it's about 30%, and it's probably similar in other countries) of teachers who are teaching mathematics classes without being trained in mathematics. I'm sure the OP is trying his/her best, and at least he/she is asking for help. Cut him/her some slack.