Pertanyaan

Nilai dari x → 2 lim x − 2 x 2 − 2 adalah...

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

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Habis dalam

Klaim

E. Nur

Master Teacher

Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari $limit as x rightwards arrow square root of 2 of space fraction numerator x squared minus 2 over denominator x minus square root of 2 end fraction equals 2 square root of 2$ .

Pembahasan

Dengan menggunakan metode perkalian akar sekawan diperoleh Dengan demikian nilai dari .

Dengan menggunakan metode perkalian akar sekawan diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow square root of 2 of space fraction numerator x squared minus 2 over denominator x minus square root of 2 end fraction end cell equals cell limit as x rightwards arrow square root of 2 of space fraction numerator x squared minus 2 over denominator x minus square root of 2 end fraction cross times fraction numerator x plus square root of 2 over denominator x plus square root of 2 end fraction end cell row blank equals cell limit as x rightwards arrow square root of 2 of space fraction numerator open parentheses x squared minus 2 close parentheses open parentheses x plus square root of 2 close parentheses over denominator x squared minus 2 end fraction end cell row blank equals cell limit as x rightwards arrow square root of 2 of space open parentheses x plus square root of 2 close parentheses end cell row blank equals cell square root of 2 plus square root of 2 end cell row blank equals cell 2 square root of 2 end cell end table$

Dengan demikian nilai dari $limit as x rightwards arrow square root of 2 of space fraction numerator x squared minus 2 over denominator x minus square root of 2 end fraction equals 2 square root of 2$ .