Pertanyaan

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$limit as x rightwards arrow 0 of fraction numerator x squared sin open parentheses x close parentheses minus 1 half sin open parentheses x close parentheses square root of x over denominator x to the power of 3 over 2 end exponent end fraction equals$ ...

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

$begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator x squared sin space left parenthesis x right parenthesis minus 1 half sin open parentheses x close parentheses square root of x over denominator x to the power of 3 over 2 end exponent end fraction equals limit as x rightwards arrow 0 of fraction numerator x squared sin space x over denominator x square root of x end fraction minus fraction numerator 1 half sin space x square root of x over denominator x square root of x end fraction equals limit as x rightwards arrow 0 of fraction numerator x square root of x up diagonal strike space sin space x end strike over denominator up diagonal strike x end fraction minus fraction numerator 1 half up diagonal strike sin space x square root of x end strike over denominator up diagonal strike x square root of x end strike end fraction equals limit as x rightwards arrow 0 of x square root of x minus 1 half equals 0 minus 1 half equals negative 1 half end style$

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