Pertanyaan

N i l ai x → 1 lim x 2 − 2 x + 1 sin 2 ( x − 1 ) = ...

$N i l ai x \to 1 lim \frac{sin ^{2} ( x - 1 )}{x ^{2} - 2 x + 1} = ...$

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F. Kurnia

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Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 1 of fraction numerator s i n squared invisible function application left parenthesis x minus 1 right parenthesis over denominator x squared minus 2 x plus 1 end fraction equals limit as x rightwards arrow 1 of fraction numerator sin begin display style invisible function application end style begin display style left parenthesis end style begin display style x end style begin display style minus end style begin display style 1 end style begin display style right parenthesis end style begin display style. end style begin display style sin end style begin display style invisible function application end style begin display style left parenthesis end style begin display style x end style begin display style minus end style begin display style 1 end style begin display style right parenthesis end style over denominator left parenthesis x minus 1 right parenthesis left parenthesis x minus 1 right parenthesis end fraction equals limit as x rightwards arrow 1 of fraction numerator sin begin display style invisible function application end style begin display style left parenthesis end style begin display style x end style begin display style minus end style begin display style 1 end style begin display style right parenthesis end style over denominator left parenthesis x minus 1 right parenthesis end fraction. limit as x rightwards arrow 1 of fraction numerator sin begin display style invisible function application end style begin display style left parenthesis end style begin display style x end style begin display style minus end style begin display style 1 end style begin display style right parenthesis end style over denominator left parenthesis x minus 1 right parenthesis end fraction equals left parenthesis 1 right parenthesis left parenthesis 1 right parenthesis equals 1$