Pertanyaan

x → ∞ lim ( x + 1 − x ) = ....

$x \to \infty lim (x + 1 - x) = ....$

2
1
0
-1

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow infinity of open parentheses square root of x plus 1 end root minus square root of x close parentheses equals limit as x rightwards arrow infinity of open parentheses square root of x plus 1 end root minus square root of x cross times fraction numerator square root of x plus 1 end root plus square root of x over denominator square root of x plus 1 end root plus square root of x end fraction close parentheses equals limit as x rightwards arrow infinity of open parentheses fraction numerator x plus 1 minus x over denominator square root of x plus 1 end root plus square root of x end fraction close parentheses equals limit as x rightwards arrow infinity of open parentheses fraction numerator 1 over denominator square root of x plus 1 end root plus square root of x end fraction close parentheses equals 0$