/sci/ - Science & Math

[Anonymous No.4292641]

How do I into limits, /sci/? Any help would be appreciated.

>pic is related

[Anonymous No.4292646]

oh look, a lonely adventurer from another board has come to grace /sci/ with his homework, thereby contributing to the stimulating environment of the board.

[Anonymous No.4292652]

factor the top and bottom to remove the unfavorable numbers

[Anonymous No.4292653]

1 is a root of both parts of the fraction so factor it out...

Or you can be a faggot and use L'hopital

[Anonymous No.4292655]

>that feel when I have much harder limits for homework
Just factorise it, lol. you could also hospital it.

[Anonymous No.4292661]

>/sci/ does homework for fun

[Anonymous No.4292664]

<div class="math">\lim_{x\rightarrow 1} (\frac{x^3-x^2+x-1}{x^2-1}) =\lim_{x\rightarrow 1} (\frac{(x^2+1)(x^2-1)}{x^2-1})=\lim_{x\rightarrow 1} x^2+1=1^2+1=2</div>

now gtfo and never come back here again

also:

wolframalpha.com.

To query a limit type "lim x-> f(x)" and it will give you the answer. Most of these involve basic algebraic manipulation or something called L'Hopital's rule which you'll get to after you learn differentiation.

[Anonymous No.4292667]

>>4292641
Try plugging numbers into your calculator closer and closer to 1 and guess the limit.

Verify by graphing.

[Anonymous No.4292668]

>>4292646

>mfw /sci/ is the only board I visit frequently.

I have no idea how you guys remember all this, I took calc my senior year and forgot how to do limits with factoring.

[Anonymous No.4292671]

>>4292655

>limits in 2d
>hard

[Anonymous No.4292679]

>>4292655
>implying any limit problem is hard, ever

[Anonymous No.4292686]

>>4292664

How did you get (x^2+1)(x^2-1)? Wouldn't that give you x^4-1?

[Anonymous No.4292692]

>>4292664
>he thinks that's the correct answer

[Anonymous No.4292706]

>take calculus last semester
>expect one of my biggest math challenges so far because of how much people talk about how hard it is
>ends up being easy as fuck and get an A
>mfw

Seriously though, the hardest thing was elipson delta, everything else was extremely easy.

[Anonymous No.4292721]

>>4292641
lol the answer is one, lim x--> cf (x)/g(x) = lim x--> c pf f(x)' / g(x)' b/c f(1)/g(1) = 0/0 --> 3-2+1/2 = 1

[Anonymous No.4292729]

>>4292664
Your poor poor nigger, can't even factor correctly and insults others. (x^2+1)(x^2-1)=x^4-1 lrn2math faggot. Also, the limit is equal to 1.

[Anonymous No.4292733]

>>4292706
Bravo, you can do limits, you are not retarded. Now do real math.

[Anonymous No.4292744]

>>4292679
>>4292671
advice then?
n--> <span class="math">\inf[/spoiler]
sqrt(n^2+n)-sqrt(n^2-n)

[Anonymous No.4292760]

L'Hopital that shit. Brainless derivation, no need to trouble your brains with factoring

[Anonymous No.4292794]

(x^3 - x^2) / (x+1)(x-1) + (x-1)/(x+1)(x-1)
x^2/(x+1) + 1/(x+1)
plug in 1
1/2 + 1/2

[Anonymous No.4292848]

>>4292760
>Brainless derivation, no need to trouble your brains with factoring
>Brainless derivation
>derivation
>Brainless
>derivation
>derivation
>brainless

it's differentiation you brainless fuckhead

[Anonymous No.4292858]

>>4292692

I'd be embarrassed, but this is the internet!

[Anonymous No.4292872]

this is grade 3 shit

[Anonymous No.4293171]

>>4292848

Excuse me for not being a native speaker. It seems I was over my head making my own conclusions as to what the proper term might've been. Since the end product is called the derivative, I assumed the action must be derivation. Am I a bad person?

[Anonymous No.4293177]

>>4292653
/thread

[Anonymous No.4295076]

>>4292706
>elipson delta hardest thing
>calls that course calculus
>mfw