Pertanyaan

Nilai x → 6 lim x + 3 − 3 2 x 2 − 9 x − 18 adalah ...

Nilai $x \to 6 lim \frac{2 x ^{2} - 9 x - 18}{x + 3 - 3}$ adalah ...

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Klaim

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 6 of fraction numerator 2 x squared minus 9 x minus 18 over denominator square root of x plus 3 end root minus 3 end fraction end cell equals cell limit as x rightwards arrow 6 of fraction numerator 2 x squared minus 9 x minus 18 over denominator square root of x plus 3 end root minus 3 end fraction cross times fraction numerator square root of x plus 3 end root plus 3 over denominator square root of x plus 3 end root plus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 6 of fraction numerator open parentheses 2 x squared minus 9 x minus 18 close parentheses open parentheses square root of x plus 3 end root plus 3 close parentheses over denominator square root of x plus 3 end root minus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 6 of fraction numerator left parenthesis 2 x squared minus 9 x minus 18 right parenthesis open parentheses square root of x plus 3 end root plus 3 close parentheses over denominator open parentheses x plus 3 close parentheses minus open parentheses 9 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 6 of fraction numerator left parenthesis x minus 6 right parenthesis open parentheses 2 x plus 3 close parentheses open parentheses square root of x plus 3 end root plus 3 close parentheses over denominator open parentheses x minus 6 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 6 of left parenthesis 2 x plus 3 right parenthesis open parentheses square root of x plus 3 end root plus 3 close parentheses end cell row blank equals cell open parentheses 2 open parentheses 6 close parentheses plus 3 close parentheses open parentheses square root of 6 plus 3 end root plus 3 close parentheses end cell row blank equals cell open parentheses 15 close parentheses open parentheses 6 close parentheses end cell row blank equals 90 end table end style$