Pertanyaan

x → ∞ lim x 2 + 9 x − 3 − x 2 + 2 x − 5 = ...

$x \to \infty lim x^{2} + 9 x - 3 - x^{2} + 2 x - 5 = ...$

N. Puspita

Master Teacher

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limit as x rightwards arrow infinity of square root of x squared plus 9 x minus 3 end root minus square root of x squared plus 2 x minus 5 end root equals 7 over 2

Pembahasan

Jika , maka Jadi .

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 equals L

Jika a equals p , maka $straight L equals fraction numerator b minus q over denominator 2 square root of a end fraction$

$limit as x rightwards arrow infinity of square root of x squared plus 9 x minus 3 end root minus square root of x squared plus 2 x minus 5 end root equals fraction numerator b minus q over denominator 2 square root of a end fraction equals fraction numerator 9 minus 2 over denominator 2 square root of 1 end fraction equals 7 over 2$

Jadi limit as x rightwards arrow infinity of square root of x squared plus 9 x minus 3 end root minus square root of x squared plus 2 x minus 5 end root equals 7 over 2 .

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