Do x is NONE? Since 8/0 = undefined if I plug 0 into x? Agree? Just want to make sure. I am not good with math (Surprised)

(Happy) Please give me a helping hand! Thank you!

http://i38.tinypic.com/a09hkk.jpg

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- Sep 20th 2009, 07:11 PMgreenbeeAnother Limit problem :X
Do x is NONE? Since 8/0 = undefined if I plug 0 into x? Agree? Just want to make sure. I am not good with math (Surprised)

(Happy) Please give me a helping hand! Thank you!

http://i38.tinypic.com/a09hkk.jpg - Sep 20th 2009, 07:17 PMChris L T521
Recall that $\displaystyle \left|x\right|=\left\{\begin{array}{rl}x & x\geq 0\\ {\color{red}-x} & {\color{red}x<0}\end{array}\right.$

So in your case,

$\displaystyle \lim_{x\to0^-}\left(\frac{8}{x}-\frac{8}{\left|x\right|}\right)=\lim_{x\to0^-}\left(\frac{8}{x}+\frac{8}{x}\right)=\lim_{x\to 0^-}\frac{16}{x}$

I'm sure you can take it from here. - Sep 20th 2009, 07:32 PMgreenbee
- Sep 20th 2009, 07:42 PMProve It
- Sep 20th 2009, 07:49 PMgreenbee
- Sep 20th 2009, 07:50 PMChris L T521
- Sep 20th 2009, 07:52 PMgreenbee