Pertanyaan

Nilai x → 1 lim x 2 − 2 x + 1 sin 2 ( x − 1 ) = ....

Nilai $x \to 1 lim \frac{sin ^{2} ( x - 1 )}{x ^{2} - 2 x + 1} = ....$

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F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator sin squared left parenthesis x minus 1 right parenthesis over denominator x squared minus 2 x plus 1 end fraction end cell equals cell limit as x rightwards arrow 1 of fraction numerator sin squared left parenthesis x minus 1 right parenthesis over denominator left parenthesis x minus 1 right parenthesis squared end fraction end cell row blank equals cell limit as x rightwards arrow 1 of open parentheses fraction numerator sin left parenthesis x minus 1 right parenthesis over denominator left parenthesis x minus 1 right parenthesis end fraction close parentheses squared end cell row blank equals cell open parentheses limit as x rightwards arrow 1 of fraction numerator sin left parenthesis x minus 1 right parenthesis over denominator left parenthesis x minus 1 right parenthesis end fraction close parentheses squared end cell row blank equals cell open parentheses 1 close parentheses squared end cell row blank equals 1 end table$