Find the limit, if it exist. If the limit does not exist, explain why.

1. lim x->-2 [(2- l x l) /(2+x)

l x l = the absolute value of x.

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- Oct 4th 2008, 10:46 AMjohntuanlimits
Find the limit, if it exist. If the limit does not exist, explain why.

1. lim x->-2 [(2- l x l) /(2+x)

l x l = the absolute value of x. - Oct 4th 2008, 10:49 AMChop Suey
$\displaystyle \lim_{x \to 2} \frac{2 - |x|}{2+x}$

The absolute value here is redundant, since x is not approaching a negative value. Simply plug and chug. - Oct 4th 2008, 11:02 AMjohntuan
whoops sorry forgot to put -2, its approaching -2.

- Oct 4th 2008, 11:07 AMicemanfan
When x is negative, $\displaystyle \frac{2 - |x|}{2 + x} = \frac{2 + x}{2 + x}$. Does that help?