Pertanyaan

N i l ai d a r i x → 0 lim x 4 1 − cos 2 x − cos x sin 2 x = ....

$N i l ai d a r i x \to 0 lim \frac{1 - cos ^{2} x - cos x sin ^{2} x}{x ^{4}} = ....$

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Habis dalam

Klaim

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 0 of fraction numerator 1 minus cos squared x minus cos x sin squared x over denominator x to the power of 4 end fraction equals limit as x rightwards arrow 0 of fraction numerator sin squared x minus cos x sin squared x over denominator x to the power of 4 end fraction equals limit as x rightwards arrow 0 of fraction numerator sin squared x left parenthesis 1 minus cos x right parenthesis over denominator x to the power of 4 end fraction equals limit as x rightwards arrow 0 of fraction numerator sin squared x over denominator x squared end fraction limit as x rightwards arrow 0 of fraction numerator left parenthesis 1 minus cos x right parenthesis over denominator x squared end fraction equals 1. limit as x rightwards arrow 0 of fraction numerator left parenthesis 1 minus cos x right parenthesis over denominator x squared end fraction equals limit as x rightwards arrow 0 of fraction numerator sin x over denominator 2 x end fraction equals limit as x rightwards arrow 0 of fraction numerator cos x over denominator 2 end fraction equals fraction numerator cos 0 degree over denominator 2 end fraction equals 1 half$