Pertanyaan

N i l ai d a r i x → ∞ lim ( 4 x 2 − 8 x + 3 − 2 x − 4 ) = ...

$N i l ai d a r i x \to \infty lim (4 x^{2} - 8 x + 3 - 2 x - 4) = ...$

-8
-6
2
6
8

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow infinity of left parenthesis square root of 4 x squared minus 8 x plus 3 end root minus 2 x minus 4 right parenthesis equals limit as x rightwards arrow infinity of left parenthesis square root of 4 x squared minus 8 x plus 3 end root minus left parenthesis 2 x plus 4 right parenthesis right parenthesis limit as x rightwards arrow infinity of left parenthesis square root of 4 x squared minus 8 x plus 3 end root right parenthesis left parenthesis square root of 4 x squared plus 16 x plus 16 end root right parenthesis B e n t u k comma limit as x rightwards arrow infinity of open parentheses square root of a x squared plus b x plus c end root minus square root of p x squared plus q x plus r end root close parentheses space u n t u k space a equals p space m a k a space m e m i l i k i space p e n y e l e s a i a n equals fraction numerator b minus q over denominator 2 square root of a end fraction S e h i n g g a space u n t u k limit as x rightwards arrow infinity of left parenthesis square root of 4 x squared minus 8 x plus 3 end root right parenthesis minus square root of 4 x squared plus 16 x plus 16 end root right parenthesis equals fraction numerator negative 8 minus 16 over denominator 2 square root of 4 end fraction equals fraction numerator negative 24 over denominator 4 end fraction equals negative 6$