Pertanyaan

X → 0 lim sin 6 x − sin 4 x sin 3 x + sin 5 x = ...

$X \to 0 lim \frac{sin 3 x + sin 5 x}{sin 6 x - sin 4 x} = ...$

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Klaim

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as X rightwards arrow 0 of fraction numerator sin space 3 x space plus space sin 5 x over denominator sin space 6 x space minus space sin space 4 x end fraction end cell equals cell limit as X rightwards arrow 0 of fraction numerator sin space 3 x space plus space sin 5 x over denominator sin space 6 x space minus space sin space 4 x end fraction. fraction numerator begin display style 1 over x end style over denominator begin display style 1 over x end style end fraction end cell row blank equals cell limit as X rightwards arrow 0 of fraction numerator begin display style fraction numerator sin space 3 x over denominator x end fraction end style space plus begin display style fraction numerator space sin 5 x over denominator x end fraction end style over denominator begin display style fraction numerator sin space 6 x over denominator x end fraction end style space minus space begin display style fraction numerator sin space 4 x over denominator x end fraction end style end fraction end cell row blank equals cell fraction numerator 3 plus 5 over denominator 6 minus 4 end fraction end cell row blank equals cell 8 over 2 end cell row blank equals 4 row blank blank blank end table end style$