Pertanyaan

Nilai dari x → 2 lim x 2 − 4 x 2 + x − 6 adalah ....

Nilai dari $x \to 2 lim \frac{x ^{2} + x - 6}{x ^{2} - 4}$ adalah ....

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Jawaban terverifikasi

Jawaban

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$limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator x squared minus 4 end fraction equals 5 over 4$ .

Pembahasan

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

Permasalahan $limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator x squared minus 4 end fraction$ dapat diselesaikan dengan menggunakan metode pemfaktoran. Sehingga diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator x squared minus 4 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 3 close parentheses up diagonal strike open parentheses x minus 2 close parentheses end strike over denominator up diagonal strike open parentheses x minus 2 close parentheses end strike open parentheses x plus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 3 close parentheses over denominator open parentheses x plus 2 close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses 2 plus 3 close parentheses over denominator open parentheses 2 plus 2 close parentheses end fraction end cell row blank equals cell 5 over 4 end cell end table$

Jadi, $limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator x squared minus 4 end fraction equals 5 over 4$ .