Pertanyaan

N i l ai d a r i x → 0 lim x 2 2 − 2 cos 2 x a d a l ah ...

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

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Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 0 of fraction numerator 2 minus 2 cos 2 x over denominator x squared end fraction equals limit as x rightwards arrow 0 of fraction numerator 2 left parenthesis 1 minus 2 cos 2 x right parenthesis over denominator x squared end fraction equals limit as x rightwards arrow 0 of fraction numerator 2 left curly bracket 1 minus left parenthesis 1 minus 2 sin squared x right parenthesis right curly bracket over denominator x squared end fraction equals limit as x rightwards arrow 0 of fraction numerator 2 left parenthesis 2 sin squared x right parenthesis over denominator x squared end fraction equals limit as x rightwards arrow 0 of fraction numerator 4 sin squared x over denominator x squared end fraction equals 4 limit as x rightwards arrow 0 of open parentheses fraction numerator sin x over denominator x end fraction close parentheses squared equals 4.1 squared equals 4$