Pertanyaan

Hasil dari adalah ...

Hasil dari $begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application fraction numerator x squared open parentheses cos invisible function application 3 x close parentheses minus open parentheses sin squared invisible function application 3 x close parentheses open parentheses cos squared invisible function application 5 x close parentheses over denominator open parentheses tan invisible function application 5 x squared close parentheses open parentheses cos invisible function application 4 x squared close parentheses end fraction end style$ adalah ...

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Perhatikan bahwa Jadi, jawaban yang tepat adalah B.

Perhatikan bahwa

$begin mathsize 14px style limit as x rightwards arrow 0 of invisible function application fraction numerator x squared open parentheses cos invisible function application 3 x close parentheses minus open parentheses sin squared invisible function application 3 x close parentheses open parentheses cos squared invisible function application 5 x close parentheses over denominator open parentheses tan invisible function application 5 x squared close parentheses open parentheses cos invisible function application 4 x squared close parentheses end fractionequals limit as x rightwards arrow 0 of invisible function application open parentheses fraction numerator x squared open parentheses cos invisible function application 3 x close parentheses over denominator open parentheses tan invisible function application 5 x squared close parentheses open parentheses cos invisible function application 4 x squared close parentheses end fraction minus fraction numerator open parentheses sin squared invisible function application 3 x close parentheses open parentheses cos squared invisible function application 5 x close parentheses over denominator open parentheses tan invisible function application 5 x squared close parentheses open parentheses cos invisible function application 4 x squared close parentheses end fraction close parenthesesequals limit as x rightwards arrow 0 of invisible function application fraction numerator x squared open parentheses cos invisible function application 3 x close parentheses over denominator open parentheses tan invisible function application 5 x squared close parentheses open parentheses cos invisible function application 4 x squared close parentheses end fraction minus limit as x rightwards arrow 0 of invisible function application fraction numerator open parentheses sin squared invisible function application 3 x close parentheses open parentheses cos squared invisible function application 5 x close parentheses over denominator open parentheses tan invisible function application 5 x squared close parentheses open parentheses cos invisible function application 4 x squared close parentheses end fractionequals limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction times limit as x rightwards arrow 0 of invisible function application fraction numerator cos invisible function application 3 x over denominator cos invisible function application 4 x squared end fraction minus limit as x rightwards arrow 0 of invisible function application fraction numerator sin squared invisible function application 3 x over denominator tan invisible function application 5 x squared end fraction times limit as x rightwards arrow 0 of invisible function application fraction numerator cos squared invisible function application 5 x over denominator cos invisible function application 4 x squared end fractionequals limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction times open parentheses fraction numerator cos invisible function application open parentheses 3 times 0 close parentheses over denominator cos invisible function application open parentheses 4 times 0 squared close parentheses end fraction close parentheses minus limit as x rightwards arrow 0 of invisible function application fraction numerator sin squared invisible function application 3 x over denominator tan invisible function application 5 x squared end fraction times open parentheses fraction numerator cos squared invisible function application open parentheses 5 times 0 close parentheses over denominator cos invisible function application open parentheses 4 times 0 squared close parentheses end fraction close parenthesesequals limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction times open parentheses 1 over 1 close parentheses minus limit as x rightwards arrow 0 of invisible function application fraction numerator sin squared invisible function application 3 x over denominator tan invisible function application 5 x squared end fraction times open parentheses 1 squared over 1 close parenthesesequals limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction minus limit as x rightwards arrow 0 of invisible function application fraction numerator sin squared invisible function application 3 x over denominator tan invisible function application 5 x squared end fractionequals limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction minus limit as x rightwards arrow 0 of invisible function application open parentheses fraction numerator sin squared invisible function application 3 x over denominator tan invisible function application 5 x squared end fraction times x squared over x squared close parenthesesequals limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction minus limit as x rightwards arrow 0 of invisible function application open parentheses fraction numerator sin squared invisible function application 3 x over denominator x squared end fraction times fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction close parenthesesequals limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction minus limit as x rightwards arrow 0 of invisible function application fraction numerator sin squared invisible function application 3 x over denominator x squared end fraction times limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fractionequals limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction minus limit as x rightwards arrow 0 of invisible function application open parentheses fraction numerator sin invisible function application 3 x over denominator x end fraction close parentheses squared times limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fractionequals limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction minus open parentheses limit as x rightwards arrow 0 of invisible function application fraction numerator sin invisible function application 3 x over denominator x end fraction close parentheses squared times limit as x rightwards arrow 0 of invisible function application fraction numerator x squared over denominator tan invisible function application 5 x squared end fractionequals limit as x rightwards arrow 0 of invisible function application open parentheses fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction times 5 over 5 close parentheses minus open parentheses limit as x rightwards arrow 0 of invisible function application open parentheses fraction numerator sin invisible function application 3 x over denominator x end fraction times 3 over 3 close parentheses close parentheses squared times limit as x rightwards arrow 0 of invisible function application open parentheses fraction numerator x squared over denominator tan invisible function application 5 x squared end fraction times 5 over 5 close parenthesesequals limit as x rightwards arrow 0 of invisible function application open parentheses fraction numerator 5 x squared over denominator tan invisible function application 5 x squared end fraction times 1 fifth close parentheses minus open parentheses limit as x rightwards arrow 0 of invisible function application open parentheses fraction numerator sin invisible function application 3 x over denominator 3 x end fraction times 3 close parentheses close parentheses squared times limit as x rightwards arrow 0 of invisible function application open parentheses fraction numerator 5 x squared over denominator tan invisible function application 5 x squared end fraction times 1 fifth close parenthesesequals 1 times 1 fifth minus open parentheses 1 times 3 close parentheses squared times 1 times 1 fifthequals 1 fifth minus 9 over 5equals negative 8 over 5 end style$

Jadi, jawaban yang tepat adalah B.