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Binomial Expression

If limx→ -3x2...

Question

If $lim x \to - 3 \frac{x^{2} + x - 6}{x + 3} = k$ , then the value of $| k |$ is

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Solution

$lim x \to - 3 \frac{x^{2} + x - 6}{x + 3}$
This is $\frac{0}{0}$ form
$= lim x \to - 3 \frac{(x + 3) (x - 2)}{x + 3} = lim x \to - 3 (x - 2) = - 5 ∴ | k | = 5$

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Binomial Expression

Standard XII Mathematics

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