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Substitution Method to Remove Indeterminate Form

Evaluate: l...

Question

Evaluate: ${lim}_{x \to 0} \frac{x^{2} - x}{sin x}$

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Solution

$l i m_{x \to 0} \frac{x^{2} - x}{sin x}$

$= l i m_{x \to 0} \frac{x - 1}{\frac{sin x}{x}}$

$= 0 - 1 = - 1$

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