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Pertanyaan

Hasil dari x → 0 lim ​ sin 6 x − sin 2 x sin 5 x + sin 3 x ​ adalah ....

Hasil dari   adalah ....

  1. size 14px 1 over size 14px 4 

  2. size 14px 1 over size 14px 2 

  3. 1

  4. 2

  5. 4

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

jawaban yang tepat adalah D.

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Pembahasan

Perhatikan bahwa Jadi, jawaban yang tepat adalah D.

Perhatikan bahwa

size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 5 size 14px x size 14px plus size 14px sin size 14px invisible function application size 14px 3 size 14px x over denominator size 14px sin size 14px invisible function application size 14px 6 size 14px x size 14px minus size 14px sin size 14px invisible function application size 14px 2 size 14px x end fraction size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 5 size 14px x size 14px plus size 14px sin size 14px invisible function application size 14px 3 size 14px x over denominator size 14px sin size 14px invisible function application size 14px 6 size 14px x size 14px minus size 14px sin size 14px invisible function application size 14px 2 size 14px x end fraction size 14px times fraction numerator size 14px 1 over size 14px x over denominator size 14px 1 over size 14px x end fraction size 14px equals size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator fraction numerator size 14px sin size 14px invisible function application size 14px 5 size 14px x over denominator size 14px x end fraction size 14px plus fraction numerator size 14px sin size 14px invisible function application size 14px 3 size 14px x over denominator size 14px x end fraction over denominator fraction numerator size 14px sin size 14px invisible function application size 14px 6 size 14px x over denominator size 14px x end fraction size 14px minus fraction numerator size 14px sin size 14px invisible function application size 14px 2 size 14px x over denominator size 14px x end fraction end fraction size 14px equals fraction numerator size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application open parentheses fraction numerator size 14px sin size 14px invisible function application size 14px 5 size 14px x over denominator size 14px x end fraction size 14px plus fraction numerator size 14px sin size 14px invisible function application size 14px 3 size 14px x over denominator size 14px x end fraction close parentheses over denominator size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application open parentheses fraction numerator size 14px sin size 14px invisible function application size 14px 6 size 14px x over denominator size 14px x end fraction size 14px minus fraction numerator size 14px sin size 14px invisible function application size 14px 2 size 14px x over denominator size 14px x end fraction close parentheses end fraction size 14px equals fraction numerator size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 5 size 14px x over denominator size 14px x end fraction size 14px plus size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 3 size 14px x over denominator size 14px x end fraction over denominator size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 6 size 14px x over denominator size 14px x end fraction size 14px minus size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 2 size 14px x over denominator size 14px x end fraction end fraction size 14px equals fraction numerator size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 5 size 14px x over denominator size 14px x end fraction size 14px times size 14px 5 over size 14px 5 size 14px plus size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 3 size 14px x over denominator size 14px x end fraction size 14px times size 14px 3 over size 14px 3 over denominator size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 6 size 14px x over denominator size 14px x end fraction size 14px times size 14px 6 over size 14px 6 size 14px minus size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 2 size 14px x over denominator size 14px x end fraction size 14px times size 14px 2 over size 14px 2 end fraction size 14px equals fraction numerator size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 5 size 14px x over denominator size 14px 5 size 14px x end fraction size 14px times size 14px 5 size 14px plus size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 3 size 14px x over denominator size 14px 3 size 14px x end fraction size 14px times size 14px 3 over denominator size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 6 size 14px x over denominator size 14px 6 size 14px x end fraction size 14px times size 14px 6 size 14px minus size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below size 14px invisible function application fraction numerator size 14px sin size 14px invisible function application size 14px 2 size 14px x over denominator size 14px 2 size 14px x end fraction size 14px times size 14px 2 end fraction size 14px equals fraction numerator size 14px 1 size 14px times size 14px 5 size 14px plus size 14px 1 size 14px times size 14px 3 over denominator size 14px 1 size 14px times size 14px 6 size 14px minus size 14px 1 size 14px times size 14px 2 end fraction size 14px equals size 14px 8 over size 14px 4 size 14px equals size 14px 2            

Jadi, jawaban yang tepat adalah D.

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