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Factorization Method Form to Remove Indeterminate Form

Evaluate: l...

Question

Evaluate: ${lim}_{x \to - 2} \frac{\frac{1}{x} + \frac{1}{2}}{x + 2}$

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Solution

$l i m_{x \to - 2} \frac{\frac{1}{x} + \frac{1}{2}}{x + 2}$

$= l i m_{x \to - 2} \frac{x + 2}{2 x (x + 2)}$

$= l i m_{x \to - 2} \frac{1}{2 x} = \frac{- 1}{4}$

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