The correct option is A 1As x → = 4 , ⇒| x 4 | #160; = (x 4) So, #10; lim _ x→ 4 | x 4 | #160; / x 4 #160; #10; #160; = lim _ ...

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Division of a Polynomial by a Polynomial

limx→ -4 | x-...

Question

$lim x \to - 4 \frac{| x - 4 |}{x - 4}$

-1

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Solution

The correct option is A -1
As $x \to= - 4$ ,
$\Rightarrow | x - 4 | = - (x - 4)$
So, $lim x \to - 4 \frac{| x - 4 |}{x - 4} = lim x \to - 4 \frac{- (x - 4)}{x - 4} = lim x \to - 4 \frac{- 1}{1} = - 1$

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