Pertanyaan

$limit as x rightwards arrow 0 of fraction numerator 1 minus cos squared straight x over denominator x squared tan open parentheses x plus pi over 3 close parentheses end fraction equals$

0
$fraction numerator square root of 3 over denominator 3 end fraction$
$fraction numerator square root of 3 over denominator 2 end fraction$

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

$begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator 1 minus cos squared straight x over denominator x squared space tan open parentheses x plus pi over 3 close parentheses end fraction equals limit as x rightwards arrow 0 of fraction numerator sin squared straight x over denominator x squared space tan open parentheses x plus pi over 3 close parentheses end fraction equals limit as x rightwards arrow 0 of fraction numerator sin squared straight x over denominator x squared end fraction. limit as x rightwards arrow 0 of fraction numerator 1 over denominator tan open parentheses x plus pi over 3 close parentheses end fraction equals limit as x rightwards arrow 0 of straight x squared over x squared. limit as x rightwards arrow 0 of fraction numerator 1 over denominator tan open parentheses x plus pi over 3 close parentheses end fraction equals limit as x rightwards arrow 0 of open parentheses 1 close parentheses. limit as x rightwards arrow 0 of fraction numerator 1 over denominator tan open parentheses x plus pi over 3 close parentheses end fraction equals 1. fraction numerator 1 over denominator tan open parentheses 0 plus pi over 3 close parentheses end fraction equals fraction numerator 1 over denominator tan open parentheses 60 to the power of o close parentheses end fraction equals fraction numerator 1 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction equals fraction numerator square root of 3 over denominator 3 end fraction end style$

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