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Anonymous Thu 03 Sep 18:07:33 2020 No.12081385 View Reply Original Report

Quoted By: >>12081402 >>12081403 >>12081480 >>12081498 >>12081547 >>12081557 >>12081559 >>12081591 >>12081792 >>12081845

is there an easy way to do this shit?

Anonymous

Anonymous Thu 03 Sep 2020 18:09:12 No.12081395 Report

Quoted By:

Mathematica

Anonymous

Anonymous Thu 03 Sep 2020 18:09:55 No.12081400 Report

Quoted By:

if there isn't a zero in the denom, then you should have no problem evaluating basic limits

i can tell in literally 2 seconds the limit is 8/5

Anonymous

Anonymous Thu 03 Sep 2020 18:10:11 No.12081401 Report

Quoted By:

Stupid questions thread next time bud. If a rational function has the same degree polynomial in both numerator and denominator, then the limit at infinity is the ratio of the leading coefficients.

Anonymous

Anonymous Thu 03 Sep 2020 18:10:18 No.12081402 Report

Quoted By:

>>12081385
Yeah, it should be in your textbook.

Anonymous

Anonymous Thu 03 Sep 2020 18:10:30 No.12081403 Report

Quoted By:

>>12081385
Wolfram alpha

Anonymous

Anonymous Thu 03 Sep 2020 18:20:42 No.12081480 Report

Quoted By: >>12081559

>>12081385
Multiply the fraction with
$\frac{x^{-2}}{x^{-2}}$

Anonymous

Anonymous Thu 03 Sep 2020 18:23:08 No.12081498 Report

Quoted By:

>>12081385
All non leading terms are irrelevant as n grows arbitrarily large. In other words for the first one you just consider 8x^2/5x^2 = 8/5 and that is your answer.

Anonymous

Anonymous Thu 03 Sep 2020 18:32:18 No.12081547 Report

Quoted By:

>>12081385
Takes like 3 seconds. You can (essentially) ignore any non-infinite constants, leaving you with "x"s in each term.
It's all 6th grade algebra from there.
You can ignore any constants at any step so long as there are still infinities at play.

Anonymous

Anonymous Thu 03 Sep 2020 18:33:47 No.12081557 Report

Quoted By:

>>12081385

>divide both numerator and denominator by 1/x^2
>terms approach 0
>use continuity argument on a multivariable function (8 + x)/(5 + y) to show that the limit should be 8/5

Anonymous

Anonymous Thu 03 Sep 2020 18:34:11 No.12081559 Report

Quoted By:

>>12081385
8/5
>>12081480
for this reason.

Anonymous

Anonymous Thu 03 Sep 2020 18:43:54 No.12081591 Report

Quoted By:

>>12081385
There's literally only an easy way to do this

Anonymous

Anonymous Thu 03 Sep 2020 19:38:49 No.12081792 Report

Quoted By:

>>12081385
Just plot some points and look at the trend.

Anonymous

Anonymous Thu 03 Sep 2020 19:59:22 No.12081845 Report

Quoted By:

>>12081385
try not being a retard
just use your brain and imagine what happens when x gets beeg
x^2 is obviously going to dominate all the other terms and you're left with 8/5

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