Pertanyaan

Nilai dari x → ∞ lim ( x 2 + 4 x − x ) adalah ...

Nilai dari $x \to \infty lim (x^{2} + 4 x - x)$ adalah ...

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Jawaban terverifikasi

Jawaban

nilai dari adalah .

nilai dari limit as x rightwards arrow infinity of space open parentheses square root of x squared plus 4 x end root minus x close parentheses

adalah

Pembahasan

Diketahui . Nilai dari : Jadi, nilai dari adalah .

Diketahui limit as x rightwards arrow infinity of space open parentheses square root of x squared plus 4 x end root minus x close parentheses .

Nilai dari limit as x rightwards arrow infinity of space open parentheses square root of x squared plus 4 x end root minus x close parentheses :

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of space open parentheses square root of x squared plus 4 x end root minus x close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of space open parentheses square root of x squared plus 4 x end root minus x close parentheses cross times fraction numerator open parentheses square root of x squared plus 4 x end root plus x close parentheses over denominator open parentheses square root of x squared plus 4 x end root plus x close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow infinity of space fraction numerator x squared plus 4 x minus x squared over denominator square root of x squared plus 4 x end root plus x end fraction end cell row blank equals cell limit as x rightwards arrow infinity of space fraction numerator 4 x over denominator square root of x squared plus 4 x end root plus x end fraction end cell row blank equals cell 4 limit as x rightwards arrow infinity of space fraction numerator x over denominator square root of x squared plus 4 x end root plus x end fraction space end cell row blank equals cell 4 limit as x rightwards arrow infinity of space fraction numerator 1 over denominator square root of 1 plus begin display style 4 over x end style end root plus 1 end fraction end cell row blank equals cell 4 open parentheses fraction numerator 1 over denominator 1 plus 1 end fraction close parentheses end cell row blank equals cell 4 open parentheses 1 half close parentheses end cell row blank equals 2 end table$

Jadi, nilai dari limit as x rightwards arrow infinity of space open parentheses square root of x squared plus 4 x end root minus x close parentheses adalah .