Littlebird
  • Littlebird
lim x-> infinity (7x^2 − x + 4)/(3x^2+ 5x − 2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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DanJS
  • DanJS
hello, something different than linear equations for once...
Littlebird
  • Littlebird
It'd calculus! ;)
DanJS
  • DanJS
yeah seems about the topic for calc 1 in september

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DanJS
  • DanJS
Did you learn the properties of the limit
Littlebird
  • 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
  • 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
  • DanJS
the limit properties support this
Littlebird
  • Littlebird
I attempted that, but then I got stuck on what algebra to use (factoring failed me)
DanJS
  • DanJS
divide everything by the highest power of x maybe
Littlebird
  • Littlebird
ok
DanJS
  • DanJS
recall \[\lim_{x \rightarrow \infty}\frac{ 1 }{ x } = 0\]
DanJS
  • DanJS
as the denominator becomes huge, the fraction 1/huge becomes arbitrarily close to zero
DanJS
  • DanJS
you can see on the graph of y = 1/x for huge x values, it converges to 0
Littlebird
  • Littlebird
I got it! :)
DanJS
  • DanJS
7/3
Littlebird
  • Littlebird
yes
DanJS
  • DanJS
yeah, that will be on the test prolly.. hah
DanJS
  • DanJS
here is a reference thing
DanJS
  • DanJS
if they really want every notation written, use the properties all the time, like the property 4 there
Littlebird
  • Littlebird
thanks
DanJS
  • 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
  • DanJS
it is the only section you will prolly not like, or least 90% the class, for some reason
Littlebird
  • Littlebird
ok. I hope I'll like it
DanJS
  • DanJS
haha yeah, it is interesting, the only real abstract kind of thing in the course
DanJS
  • DanJS
goodluck, tag me in more if you want,

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