Pertanyaan

Nilai x → ∞ lim 2 x 2 + 2 2 x − 1 − 2 x 2 − 2 x − 3 = ...

Nilai $x \to \infty lim 2 x^{2} + 22 x - 1 - 2 x^{2} - 2 x - 3$ = ...

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Ingat: Jika nilai a = p maka nilai Maka:

Ingat:

Jika nilai a=p maka nilai

$limit as x rightwards arrow infinity of left parenthesis square root of a x squared plus b x plus c end root minus square root of p x squared plus q x plus r end root right parenthesis equals fraction numerator b minus q over denominator 2 square root of a end fraction$

Maka:

$limit as x rightwards arrow infinity of open parentheses square root of 2 x squared plus 2 square root of 2 x minus 1 end root minus square root of 2 x squared minus 2 x minus 3 end root close parentheses equals fraction numerator 2 square root of 2 minus left parenthesis 2 right parenthesis over denominator 2 square root of 2 end fraction equals fraction numerator square root of 2 plus 1 over denominator square root of 2 end fraction equals fraction numerator 2 plus square root of 2 over denominator 2 end fraction$

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