## Littlebird one year ago lim x-> infinity (7x^2 − x + 4)/(3x^2+ 5x − 2)

1. DanJS

hello, something different than linear equations for once...

2. Littlebird

It'd calculus! ;)

3. DanJS

yeah seems about the topic for calc 1 in september

4. DanJS

Did you learn the properties of the limit

5. Littlebird

sort of. We just started the section, but are allowed to do our homework ahead of time. The quiz for the previous section was earlier today.

6. DanJS

As it is, you will not get a value for the limit when you put in infinity for x, you have to try and do a bunch of algebra to change that

7. DanJS

the limit properties support this

8. Littlebird

I attempted that, but then I got stuck on what algebra to use (factoring failed me)

9. DanJS

divide everything by the highest power of x maybe

10. Littlebird

ok

11. DanJS

recall $\lim_{x \rightarrow \infty}\frac{ 1 }{ x } = 0$

12. DanJS

as the denominator becomes huge, the fraction 1/huge becomes arbitrarily close to zero

13. DanJS

you can see on the graph of y = 1/x for huge x values, it converges to 0

14. Littlebird

I got it! :)

15. DanJS

7/3

16. Littlebird

yes

17. DanJS

yeah, that will be on the test prolly.. hah

18. DanJS

here is a reference thing

19. DanJS

if they really want every notation written, use the properties all the time, like the property 4 there

20. Littlebird

thanks

21. DanJS

tag me when you get to the Epsilon-Delta Precise definition for the Limit section, to prove a limit exists... I just went back over that recently, fresh in the mind

22. DanJS

it is the only section you will prolly not like, or least 90% the class, for some reason

23. Littlebird

ok. I hope I'll like it

24. DanJS

haha yeah, it is interesting, the only real abstract kind of thing in the course

25. DanJS

goodluck, tag me in more if you want,