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Pertanyaan

Nilai dari x → 3 lim ​ ( x 2 − 4 x + 3 ) sin ( 3 x − 9 ) cos ( x − 3 ) − 1 ​ = ...

Nilai dari

  1. negative 1 over 12

  2. negative 1 over 8

  3. 1 over 12

  4. 1 over 8

  5. 1 fourth

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow 3 of fraction numerator cos space open parentheses straight x minus 3 close parentheses minus 1 over denominator open parentheses straight x squared minus 4 straight x plus 3 close parentheses sin space open parentheses 3 straight x minus 9 close parentheses end fraction end cell equals cell limit as straight x rightwards arrow 3 of fraction numerator open parentheses 1 minus 2 sin squared space begin display style 1 half end style open parentheses straight x minus 3 close parentheses close parentheses minus 1 over denominator open parentheses straight x minus 3 close parentheses open parentheses straight x minus 1 close parentheses sin space 3 open parentheses straight x minus 3 close parentheses end fraction end cell row blank equals cell limit as straight x rightwards arrow 3 of fraction numerator negative 2 times sin space begin display style 1 half end style open parentheses straight x minus 3 close parentheses times sin space 1 half open parentheses straight x minus 3 close parentheses over denominator open parentheses straight x minus 3 close parentheses open parentheses straight x minus 1 close parentheses sin space 3 open parentheses straight x minus 3 close parentheses end fraction end cell row blank equals cell limit as straight x rightwards arrow 3 of fraction numerator negative 2 times begin display style 1 half end style times 1 half over denominator open parentheses straight x minus 1 close parentheses times 3 end fraction end cell row blank equals cell fraction numerator negative begin display style 1 half end style over denominator 2 times 3 end fraction end cell row blank equals cell negative 1 over 12 end cell end table

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