Pertanyaan

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

Nilai dari $x \to \infty lim (2 x - 1 - x + 3) = ....$

-2
-1
0
1

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow infinity of open parentheses square root of 2 x minus 1 end root minus square root of x plus 3 end root close parentheses equals limit as x rightwards arrow infinity of open parentheses square root of 2 x minus 1 end root minus square root of x plus 3 end root open parentheses fraction numerator square root of 2 x minus 1 end root plus square root of x plus 3 end root over denominator square root of 2 x minus 1 end root plus square root of x plus 3 end root end fraction close parentheses close parentheses equals limit as x rightwards arrow infinity of open parentheses fraction numerator 2 x minus 1 minus x minus 3 over denominator square root of 2 x minus 1 end root plus square root of x plus 3 end root end fraction close parentheses limit as x rightwards arrow infinity of open parentheses fraction numerator x minus 4 over denominator square root of 2 x minus 1 end root plus square root of x plus 3 end root end fraction close parentheses open parentheses fraction numerator begin display style 1 over x end style over denominator begin display style 1 over x end style end fraction close parentheses$

$limit as x rightwards arrow infinity of open parentheses fraction numerator begin display style x over x minus 4 over x end style over denominator square root of begin display style fraction numerator 2 x over denominator x squared end fraction minus 1 over x squared end style end root plus square root of begin display style x over x squared end style plus begin display style 3 over x squared end style end root end fraction close parentheses fraction numerator 1 minus 0 over denominator square root of 0 minus 0 end root plus square root of 0 plus 0 end root end fraction equals infinity$