Pertanyaan

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

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

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N. Puspita

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

Pembahasan

Diasumsikan soalnya menjadi: Ingat kembali: Maka: Jadi, jawaban yang benar adalah A.

Diasumsikan soalnya menjadi:

$begin mathsize 14px style limit as x rightwards arrow 0 of space fraction numerator cos space 2 x minus 1 over denominator x squared end fraction end style$

Ingat kembali:

Maka:

$begin mathsize 14px style limit as x rightwards arrow 0 of space fraction numerator cos space 2 x minus 1 over denominator x squared end fraction equals limit as x rightwards arrow 0 of space fraction numerator 1 minus 2 space sin squared x minus 1 over denominator x squared end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 0 of space fraction numerator negative 2 space sin squared x over denominator x squared end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 0 of space minus 2 times fraction numerator sin space x over denominator x end fraction times fraction numerator sin space x over denominator x end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals negative 2 times 1 times 1 space space space space space space space space space space space space space space space space space space space space space space space space space equals negative 2 end style$

Jadi, jawaban yang benar adalah A.