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Nilai dari ekspresi x → ∞ lim x 2 − 2 x + 5 − x 2 + 2 x + 10 adalah...

Nilai dari ekspresi $x \to \infty lim x^{2} - 2 x + 5 - x^{2} + 2 x + 10$ adalah...

N. Puspita

Master Teacher

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nilai dari ekspresi adalah .

nilai dari ekspresi limit as x rightwards arrow infinity of square root of x squared minus 2 x plus 5 end root minus square root of x squared plus 2 x plus 10 end root

limit as x rightwards arrow infinity of square root of x squared minus 2 x plus 5 end root minus square root of x squared plus 2 x plus 10 end root

adalah

Pembahasan

Jadi, nilai dari ekspresi adalah .

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of square root of a x squared plus b x plus c end root minus square root of p x squared plus q x plus r end root end cell equals L row cell j i k a space a end cell equals cell p space m a k a space L equals fraction numerator b minus q over denominator 2 square root of a end fraction end cell row cell limit as x rightwards arrow infinity of square root of x squared minus 2 x plus 5 end root minus square root of x squared plus 2 x plus 10 end root end cell equals L row L equals cell fraction numerator negative 2 minus 2 over denominator 2 square root of 1 end fraction end cell row L equals cell fraction numerator negative 4 over denominator 2 end fraction end cell row L equals cell negative 2 end cell row blank blank blank end table$

Jadi, nilai dari ekspresi limit as x rightwards arrow infinity of square root of x squared minus 2 x plus 5 end root minus square root of x squared plus 2 x plus 10 end root adalah negative 2 .

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