1. anonymous

what is it

2. anonymous

$\lim_{x \rightarrow \infty} \frac{ x2+1 }{ x2+x+1 }$

3. anonymous

oh never i'm in 5th grade sorryyy

4. anonymous

the long way around is to divide every term by the highest degree in the denominator, so divide everything by x², then take the limit

5. anonymous

it's $x^{2}$ not x2,my mistake

6. anonymous

for rational functions in general if the degrees of the numerator and denominator are the same, the limit approaching infinity is the ratio of their leading coefficients

7. anonymous

can I use L'Hospital and derivate each term?

8. anonymous

yep

9. anonymous

I need to use it twice

10. anonymous

and i get 2/2 that equals 1,is this correct?

11. anonymous

yes it's 1