Question

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

Answer 1

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

Answer 2

It'd calculus! ;)

Answer 3

yeah seems about the topic for calc 1 in september

Answer 4

Did you learn the properties of the limit

Answer 5

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.

Answer 6

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

Answer 7

the limit properties support this

Answer 8

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

Answer 9

divide everything by the highest power of x maybe

Answer 10

ok

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

I got it! :)

Answer 15

7/3

Answer 16

yes

Answer 17

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

Answer 18

here is a reference thing

Answer 19

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

Answer 20

thanks

Answer 21

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

Answer 22

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

Answer 23

ok. I hope I'll like it

Answer 24

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

Answer 25

goodluck, tag me in more if you want,