Pertanyaan

Nilai x → 2 lim x 2 + 2 x − 8 3 x 2 − 18 x + 24 .

Nilai $x \to 2 lim \frac{3 x ^{2} - 18 x + 24}{x ^{2} + 2 x - 8}$ .

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Klaim

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

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$limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 18 x plus 24 over denominator x squared plus 2 x minus 8 end fraction equals negative 1$ .

Pembahasan

Permasalahan dapat diselesaikan dengan menggunakan metode pemfaktoran. Sehingga diperoleh Jadi, .

Permasalahan $limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 18 x plus 24 over denominator x squared plus 2 x minus 8 end fraction$ dapat diselesaikan dengan menggunakan metode pemfaktoran. Sehingga diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 18 x plus 24 over denominator x squared plus 2 x minus 8 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator 3 open parentheses x squared minus 6 x plus 8 close parentheses over denominator x squared plus 2 x minus 8 end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 3 open parentheses x minus 4 close parentheses open parentheses x minus 2 close parentheses over denominator open parentheses x plus 4 close parentheses open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 3 open parentheses x minus 4 close parentheses over denominator open parentheses x plus 4 close parentheses end fraction end cell row blank equals cell fraction numerator 3 open parentheses 2 minus 4 close parentheses over denominator open parentheses 2 plus 4 close parentheses end fraction end cell row blank equals cell fraction numerator 3 open parentheses negative 2 close parentheses over denominator 6 end fraction end cell row blank equals cell negative 6 over 6 end cell row blank equals cell negative 1 end cell end table$

Jadi, $limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 18 x plus 24 over denominator x squared plus 2 x minus 8 end fraction equals negative 1$ .