Pertanyaan

x → 0 lim 2 x 3 − 4 x 2 2 x sin ( 4 x ) = ....

$x \to 0 lim \frac{2 x sin ( 4 x )}{2 x ^{3} - 4 x ^{2}} = ....$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Jadi, jawaban yang tepat adalah D.

$begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator 2 x space sin left parenthesis 4 x right parenthesis over denominator 2 x cubed minus 4 x squared end fraction equals limit as x rightwards arrow 0 of fraction numerator 2 x space sin left parenthesis 4 x right parenthesis over denominator 2 x squared left parenthesis x minus 2 right parenthesis end fraction equals limit as x rightwards arrow 0 of fraction numerator sin begin display style space end style begin display style left parenthesis end style begin display style 4 end style begin display style x end style begin display style right parenthesis end style over denominator x left parenthesis x minus 2 right parenthesis end fraction equals limit as x rightwards arrow 0 of fraction numerator sin begin display style left parenthesis end style begin display style 4 end style begin display style x end style begin display style right parenthesis end style over denominator x end fraction space. space limit as x rightwards arrow 0 of fraction numerator 1 over denominator x minus 2 end fraction equals 4 space. space open parentheses negative 1 half close parentheses equals space minus 2 end style$

Jadi, jawaban yang tepat adalah D.