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.
Last edited by johntuan; Oct 4th 2008 at 11:02 AM.
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$\displaystyle \lim_{x \to 2} \frac{2 - |x|}{2+x}$ The absolute value here is redundant, since x is not approaching a negative value. Simply plug and chug.
whoops sorry forgot to put -2, its approaching -2.
When x is negative, $\displaystyle \frac{2 - |x|}{2 + x} = \frac{2 + x}{2 + x}$. Does that help?
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