Pertanyaan

Nilai x → 3 lim 2 x + 2 − 3 x − 1 x 2 − 7 x + 12 adalah....

Nilai $x \to 3 lim \frac{x ^{2} - 7 x + 12}{2 x + 2 - 3 x - 1}$ adalah....

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Klaim

E. Nur

Master Teacher

Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

Jawaban terverifikasi

Jawaban

nilai dari adalah .

nilai dari $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared minus 7 x plus 12 over denominator square root of 2 x plus 2 end root minus square root of 3 x minus 1 end root end fraction end cell end table$ adalah 4 square root of 2

Pembahasan

Dengan menggunakan metode mengalikan akar sekawan diperoleh Dengan demikian nilai dari adalah .

Dengan menggunakan metode mengalikan akar sekawan diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of fraction numerator x squared minus 7 x plus 12 over denominator square root of 2 x plus 2 end root minus square root of 3 x minus 1 end root end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator x squared minus 7 x plus 12 over denominator square root of 2 x plus 2 end root minus square root of 3 x minus 1 end root end fraction cross times fraction numerator square root of 2 x plus 2 end root plus square root of 3 x minus 1 end root over denominator square root of 2 x plus 2 end root plus square root of 3 x minus 1 end root end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator open parentheses x squared minus 7 x plus 12 close parentheses open parentheses square root of 2 x plus 2 end root plus square root of 3 x minus 1 end root close parentheses over denominator open parentheses 2 x plus 2 close parentheses minus open parentheses 3 x minus 1 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator open parentheses x minus 3 close parentheses open parentheses x minus 4 close parentheses open parentheses square root of 2 x plus 2 end root plus square root of 3 x minus 1 end root close parentheses over denominator negative x plus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator open parentheses x minus 3 close parentheses open parentheses x minus 4 close parentheses open parentheses square root of 2 x plus 2 end root plus square root of 3 x minus 1 end root close parentheses over denominator negative open parentheses x minus 3 close parentheses end fraction end cell row blank equals cell stack lim space with x rightwards arrow 3 below space minus open parentheses x minus 4 close parentheses open parentheses square root of 2 x plus 2 end root plus square root of 3 x minus 1 end root close parentheses end cell row blank equals cell negative open parentheses 3 minus 4 close parentheses open parentheses square root of 2 open parentheses 3 close parentheses plus 2 end root plus square root of 3 open parentheses 3 close parentheses minus 1 end root close parentheses end cell row blank equals cell negative open parentheses negative 1 close parentheses open parentheses square root of 8 plus square root of 8 close parentheses end cell row blank equals cell 2 square root of 8 end cell row blank equals cell 2 times 2 square root of 2 end cell row blank equals cell 4 square root of 2 end cell end table$

Dengan demikian nilai dari $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 3 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x squared minus 7 x plus 12 over denominator square root of 2 x plus 2 end root minus square root of 3 x minus 1 end root end fraction end cell end table$ adalah 4 square root of 2 .