Pertanyaan

N i l ai d a r i x → 0 lim x − 7 x − 7 = .....

$N i l ai d a r i x \to 0 lim \frac{x - 7}{x - 7} = .....$

$fraction numerator 1 over denominator 2 square root of 7 end fraction$
$fraction numerator 1 over denominator square root of 7 end fraction$

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Jawaban terverifikasi

Pembahasan

$space limit as x rightwards arrow 0 of fraction numerator x minus 7 over denominator square root of x minus square root of 7 end fraction equals space limit as x rightwards arrow 0 of fraction numerator x minus 7 over denominator square root of x minus square root of 7 end fraction cross times fraction numerator square root of x plus 7 over denominator square root of x plus 7 end fraction space space space space space space space space space space space space space space space space space space space space space space equals space limit as x rightwards arrow 0 of fraction numerator left parenthesis x minus 7 right parenthesis left parenthesis square root of x plus square root of 7 right parenthesis over denominator x minus square root of 7 end fraction space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis 0 minus 7 right parenthesis left parenthesis square root of 0 plus square root of 7 over denominator 0 minus 7 end fraction space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis negative 7 right parenthesis left parenthesis square root of 7 right parenthesis over denominator negative 7 end fraction space space space space space space space space space space space space space space space space space space space space space space equals square root of 7$

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