Question

lim(n→∞)⁡〖(n-1)/(n+3)〗= ? .. can't find the way to transform the equation be cause ∞/∞ is impossible...

Answer 1

try writing down (n-1)/(n+3) as (1-1/n)/(1+3/n), i.e. dividing both numerator and denominator by n. That should help. :)

Answer 2

ok thanks, first lesson at limits though..

Answer 3

\[\lim_{x\rightarrow\infty}\frac{n-1}{n+3}\]
If that is actually the question--use l'Hopital's rule:
where:
\[\lim \frac{\infty}{\infty}=\lim_{x\rightarrow\infty}\frac{f'(x)}{g'(x)}\]
So...
\[\lim_{x\rightarrow\infty}\frac{\frac{d}{dn}(n-1)}{\frac{d}{dn}(n+3)}=\lim_{x\rightarrow\infty}\frac{1}{1}=1\]