Limit

**Chrisnew** · Jul 7th 2013, 02:54 PM

If
lim f(x)=0 calculate the following:
x→+∞

lim (f(x)+sinf⁡(x))/(f^4 (x)-2f^3 (x))
x→+∞

**chiro** · Jul 7th 2013, 05:59 PM

Hey Chrisnew.

What kind of limit topics are you covering in your classes?

**Chrisnew** · Jul 8th 2013, 09:10 AM

What do you mean?

**HallsofIvy** · Jul 8th 2013, 09:29 AM

If, as you seem to be saying, you have never seen a "limit" before and have no idea what to do, then you have no business attempting this problem! Chrisnew is hoping that is NOT the case and wanting to know what you do know so that we can help you.

**Chrisnew** · Jul 8th 2013, 01:19 PM

thank you but finally i found one solution i think
$Limit-mimetex-1-.gif$ $Limit-mimetex.gif$ $Limit-mimetex-1-.gif$ $\,=\,\infty\,\cdot\,-1\,=\,-\infty$

BESAUSE :
$\text{Let }a\,=\,f(x)\text{, then, as }x\text{ approaches \infty },\,a\text{ approaches 0}.$
$\lim_{a\to0}\,\frac{\sin(a)}{a}\,=\,1$

**Plato** · Jul 8th 2013, 02:14 PM

Originally Posted by Chrisnew

thank you but finally i found one solution i think
$Click image for larger version. Name: mimetex (1).gif Views: 1 Size: 893 Bytes ID: 28756$ $Click image for larger version. Name: mimetex.gif Views: 3 Size: 1.2 KB ID: 28755$ $Click image for larger version. Name: mimetex (1).gif Views: 1 Size: 1.1 KB ID: 28757$ $\,=\,\infty\,\cdot\,-1\,=\,-\infty$

Why do you think that is a solution. If it is, then what is the limit?

**Chrisnew** · Jul 10th 2013, 01:18 AM

i wrote the answer but i saw only mathforum.com may use ...instead of my solution

**topsquark** · Jul 10th 2013, 05:41 PM

Originally Posted by Chrisnew

i wrote the answer but i saw only mathforum.com may use ...instead of my solution

All I see is an answer that mathforum.com came up with. But what have you been able to do with the problem? That's what we are looking to find out. If you haven't been able to do anything then tell us. But we need to know where to start to help you out!!

-Dan

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