Pertanyaan

lim x → 3 x 2 − 4 x + 3 x 2 − 7 x + 12

$lim_{x \to 3} \frac{x ^{2} - 7 x + 12}{x ^{2} - 4 x + 3}$

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Klaim

A. Septianingsih

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as straight x rightwards arrow 3 of fraction numerator straight x squared minus 7 straight x plus 12 over denominator straight x squared minus 4 straight x plus 3 end fraction end cell row blank equals cell limit as straight x rightwards arrow 3 of fraction numerator open parentheses straight x minus 3 close parentheses open parentheses straight x minus 4 close parentheses over denominator open parentheses straight x minus 1 close parentheses open parentheses straight x minus 3 close parentheses end fraction end cell row blank equals cell limit as straight x rightwards arrow 3 of fraction numerator open parentheses straight x minus 4 close parentheses over denominator open parentheses straight x minus 1 close parentheses end fraction end cell row blank equals cell fraction numerator 3 minus 4 over denominator 3 minus 1 end fraction end cell row blank equals cell fraction numerator negative 1 over denominator 2 end fraction end cell end table$