Pertanyaan

Jika x → 0 lim x g ( x ) = 2 1 , maka nilai x → 0 lim 1 − x − 1 g ( x ) adalah...

Jika $x \to 0 lim \frac{g ( x )}{x} = \frac{1}{2}$ , maka nilai $x \to 0 lim \frac{g ( x )}{1 - x - 1}$ adalah...

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

Diketahui: , maka:

Diketahui:

$limit as x rightwards arrow 0 of fraction numerator g open parentheses x close parentheses over denominator x end fraction equals 1 half$ , maka:

$limit as x rightwards arrow 0 of fraction numerator g left parenthesis x right parenthesis over denominator square root of 1 minus x end root minus 1 end fraction equals limit as x rightwards arrow 0 of fraction numerator g left parenthesis x right parenthesis over denominator square root of 1 minus x end root minus 1 end fraction cross times fraction numerator square root of 1 minus x end root plus 1 over denominator square root of 1 minus x end root plus 1 end fraction equals limit as x rightwards arrow 0 of fraction numerator g left parenthesis x right parenthesis. open parentheses square root of 1 minus x end root plus 1 close parentheses over denominator open parentheses 1 minus x close parentheses minus 1 end fraction equals limit as x rightwards arrow 0 of fraction numerator g left parenthesis x right parenthesis. open parentheses square root of 1 minus x end root plus 1 close parentheses over denominator negative x end fraction equals limit as x rightwards arrow 0 of fraction numerator g left parenthesis x right parenthesis over denominator negative x end fraction. limit as x rightwards arrow 0 of open parentheses square root of 1 minus x end root plus 1 close parentheses equals negative 1 half. open parentheses square root of 1 minus 0 end root plus 1 close parentheses equals negative 1 half.2 equals negative 1$

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