Pertanyaan

x → ∞ lim ( 4 x 2 − 8 x + 3 − 2 x − 4 ) = ....

$x \to \infty lim (4 x^{2} - 8 x + 3 - 2 x - 4) = ....$

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Klaim

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

nilai adalah

nilai

limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 8 x plus 3 end root minus 2 x minus 4 close parentheses

adalah

Pembahasan

Jika , maka Maka, hasil limit tersebut: Jadi, nilai adalah

limit as x rightwards arrow negative 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 straight L

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

Maka, hasil limit tersebut:

$equals limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 8 x plus 3 end root minus 2 x minus 4 close parentheses equals limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 8 x plus 3 end root minus left parenthesis 2 x plus 4 right parenthesis close parentheses equals limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 8 x plus 3 end root minus square root of left parenthesis 2 x plus 4 right parenthesis squared end root close parentheses equals limit as x rightwards arrow infinity of left parenthesis square root of 4 x squared minus 8 x plus 3 end root minus square root of 4 x squared plus 16 x plus 16 end root right parenthesis equals fraction numerator b minus q over denominator 2 square root of a end fraction equals fraction numerator negative 8 minus 16 over denominator 2 square root of 4 end fraction equals fraction numerator negative 24 over denominator 2 times 2 end fraction equals fraction numerator negative 24 over denominator 4 end fraction equals negative 6$

Jadi, nilai adalah