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/sci/ - Science & Math

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4345528 No.4345528 [Reply] [Original]

Sup /sci/
Could I get some help with my Calc hw? There's one question that I'm just stuck on. It is due tomorrow so I don't have time to ask my teacher about it. That whole "procrastination" thing got to me.

Anyway, I am to evaluate the limit, if it exists.

lim [(1/x) - 1/(x^2 +x)]
x->0

Just a nudge or two is really all that I need hopefully.

In return ask a stormwater intern/env sci major anything! Will also grant the first request of pics.

Pic not related to the calculus, though related to the in return.

>> No.4345531

Bumpin with pidgey

>> No.4345535
File: 209 KB, 883x977, pidgey_used_swagger_by_kowai_kaiju-d3fomqj[3].png [View same] [iqdb] [saucenao] [google]
4345535

>>4345531
Forgot pic. Aren't I awesome?

>> No.4345554

Factor that shit, and it should become more clear.

>> No.4345595
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4345595

>>4345554
ok.... so now I've got....

lim [(1/x)-1/(x(x+1))]
x->0

I'm embarrassed to admit that I'm still struggling.

I can get it to the following by multiplying the whole thing by (1/(x(x1))

[1/(x^2)] - [1/(x(x+1))^2]
But that just seems to be working in the wrong direction?

Did I factor it correctly?

Bumpin with bears

>> No.4345602
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4345602

Rawr...
bearz

>> No.4345604

Bumpin of desperateness.

>> No.4345609

>>4345595
factor some more

>> No.4345612

http://www.wolframalpha.com/input/?i=limit+as+x+approaches+0+of+%5B%281%2Fx%29-1%2F%28x%28x%2B1%29%2
9%5D

Thank me later.

>> No.4345620
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4345620

>>4345609
continuing....

>> No.4345628
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4345628

>>4345620


here bro, I remember when I was 12 too, feels bad man.

>> No.4345631

make 1/x - 1/x^2+2 equal x/x^2+x and go from there. If you can't do it, I don't know why the hell you're a science major.

>> No.4345633

OP can't do algebra. What are you doing in calculus?

>> No.4345652
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4345652

>>4345612
Ah! Well that certainly helped to explain things. Thank you!

Though I guess I'm still a little confused. How did it make that first step to write it as this? It seems to have dropped the first part of "1/x"?

lim x/(x^2 + X)
x->0

>> No.4345672

>>4345652
Oh goddamnit.

I just figured it out.

This is the shit that I did back in fourth fucking grade.

OP is an idiotfa­g definitely.

Thanks for the help tho /sci/! If I ever want to feel like more of an idiot, I'll know where to go!

>> No.4345673

>>4345652
>>4345652

look at the denominators

one is a x and the other is a x(x+1), so in order to add fractions you need the same denominator, so since they both already have x in the denominator, you simply need to multiply the first term by

(x+1)/(x+1) (this is equivalent to 1, so you don't change the value of the term) so it becomes (x+1)/(x+1)x

now since both of them have the same denominator now you can add them

you have this operation

(x+1)/[(x+1)x] - 1/[(x+1)x]

= [(x+1)-1]/(x+1)x