- Littlebird

lim x-> infinity (7x^2 − x + 4)/(3x^2+ 5x − 2)

- jamiebookeater

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- DanJS

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

- Littlebird

It'd calculus! ;)

- DanJS

yeah seems about the topic for calc 1 in september

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## More answers

- DanJS

Did you learn the properties of the limit

- 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.

- 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

- DanJS

the limit properties support this

- Littlebird

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

- DanJS

divide everything by the highest power of x maybe

- Littlebird

ok

- DanJS

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

- DanJS

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

- DanJS

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

- Littlebird

I got it! :)

- DanJS

7/3

- Littlebird

yes

- DanJS

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

- DanJS

here is a reference thing

##### 1 Attachment

- DanJS

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

- Littlebird

thanks

- 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

- DanJS

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

- Littlebird

ok. I hope I'll like it

- DanJS

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

- DanJS

goodluck, tag me in more if you want,

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