Pertanyaan

Berapakah nilai dari x → ∞ lim x 2 − x x 2 + x = ...

Berapakah nilai dari

$x \to \infty lim \frac{x ^{2} + x}{x ^{2} - x} = ...$

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Klaim

S. Indah

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

hasil dari x → ∞ lim x 2 − x x 2 + x = 1 .

hasil dari

x \to \infty lim \frac{x ^{2} + x}{x ^{2} - x} = 1

Pembahasan

Dengan demikian, hasil dari x → ∞ lim x 2 − x x 2 + x = 1 .

$begin mathsize 14px style limit as x rightwards arrow infinity of space fraction numerator x squared plus x over denominator x squared minus x end fraction equals limit as x rightwards arrow infinity of space fraction numerator begin display style x squared over x squared end style plus begin display style x over x squared end style over denominator begin display style x squared over x squared end style minus begin display style x over x squared end style end fraction equals limit as x rightwards arrow infinity of space fraction numerator begin display style 1 plus 1 over x end style over denominator begin display style 1 minus 1 over x end style end fraction equals fraction numerator 1 plus 0 over denominator 1 minus 0 end fraction equals 1 end style$

Dengan demikian, hasil dari $x \to \infty lim \frac{x ^{2} + x}{x ^{2} - x} = 1$ .