Pertanyaan

x → 5 lim x − 5 x ( x − 5 ) = ...

$x \to 5 lim \frac{x ( x - 5 )}{x - 5} = ...$

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

$limit as x rightwards arrow 5 of fraction numerator square root of x open parentheses x minus 5 close parentheses over denominator square root of x minus square root of 5 end fraction equals limit as x rightwards arrow 5 of fraction numerator square root of x open parentheses square root of x plus square root of 5 close parentheses up diagonal strike open parentheses square root of x minus square root of 5 close parentheses end strike over denominator up diagonal strike square root of x minus square root of 5 end strike end fraction equals limit as x rightwards arrow 5 of square root of x open parentheses square root of x plus square root of 5 close parentheses equals square root of 5 open parentheses square root of 5 plus square root of 5 close parentheses equals square root of 5 open parentheses 2 square root of 5 close parentheses equals 10$

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