Pertanyaan

Nilai x → 0 lim x sin 2 x 1 − cos 2 2 x = ...

Nilai $x \to 0 lim \frac{1 - cos ^{2} 2 x}{x sin 2 x} = ...$

4
2
0
-2
-4

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Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 0 of fraction numerator open parentheses 1 minus c o s squared invisible function application 2 x close parentheses over denominator x sin space 2 x end fraction equals limit as x rightwards arrow 0 of fraction numerator s i n squared invisible function application 2 x over denominator x sin space 2 x end fraction equals limit as x rightwards arrow 0 of fraction numerator sin begin display style 2 end style begin display style x end style over denominator x end fraction equals limit as x rightwards arrow 0 of fraction numerator begin display style sin 2 x end style over denominator 2 x end fraction 2 equals 1 cross times 2 equals 2$