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

Nilai  adalah....

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E. Nur

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Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

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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.

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