Pertanyaan

x → ∞ lim 9 x 2 + 8 x − 5 − 9 x 2 − 10 − 3

$x \to \infty lim 9 x^{2} + 8 x - 5 - 9 x^{2} - 10 - 3$

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style limit as x rightwards arrow infinity of space square root of 9 x squared plus 8 x minus 5 end root space minus square root of 9 x squared minus 10 minus 3 end root equals limit as x rightwards arrow infinity of space square root of fraction numerator 9 x squared plus 8 x minus 5 over denominator x squared end fraction end root space minus square root of fraction numerator 9 x squared minus 10 minus 3 over denominator x squared end fraction end root equals limit as x rightwards arrow infinity of space square root of 9 plus 8 over x minus 5 over x squared end root space minus square root of 9 minus 10 over x squared minus 3 over x squared end root equals square root of 9 space minus square root of 9 equals 3 minus 3 equals 0 end style$