Pertanyaan

Nilai dari x → + ∞ lim x 2 − 2 x 2 x + 1 adalah....

Nilai dari $x \to + \infty lim \frac{2 x + 1}{x ^{2} - 2 x}$ adalah....

-1
1
2

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow plus infinity of fraction numerator 2 x plus 1 over denominator square root of x squared minus 2 x end root end fraction open parentheses fraction numerator begin display style 1 over x end style over denominator begin display style 1 over x end style end fraction close parentheses equals limit as x rightwards arrow plus infinity of fraction numerator begin display style fraction numerator 2 x over denominator x end fraction plus 1 over x end style over denominator square root of begin display style x squared over x squared minus fraction numerator 2 x over denominator x squared end fraction end style end root end fraction equals fraction numerator 2 plus 0 over denominator square root of 1 minus 0 end root end fraction equals 2$