The correct option is C 1/2Given, lim_x→ 1x^2x 1 Substituting x = 1 , we get, lim _ x→ 1 x^2x 1= ( 1) ^2 #160; 1 1 1 = 12 ...

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Algebra of Limits

limx→ -1x2x-1...

Question

$lim x \to - 1 \frac{x^{2}}{x - 1}$ = _______

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-1/2

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-2

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Solution

The correct option is C -1/2
Given, $lim x \to - 1 \frac{x^{2}}{x - 1}$

Substituting $x = - 1$ , we get,
$lim x \to - 1 \frac{x^{2}}{x - 1} = \frac{{(- 1)}^{2} 1}{- 1 - 1} = - \frac{1}{2}$

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