x→∞lim9x2−7x−5−9x2−10x−11=...

Pertanyaan

$\lim_{x\rightarrow\infty}\sqrt{9x^2-7x-5}-\sqrt{9x^2-10x-11}=...$

$negative 17 over 6$
$negative 1 half$
0
$1 half$
$17 over 6$

Pembahasan Soal:

Jika a = p maka bentuk limit tak hingga berikut adalah

$limit as x rightwards arrow infinity of square root of a x squared plus b x plus c end root minus square root of p x squared plus q x plus r end root equals fraction numerator b minus q over denominator 2 square root of a end fraction$

Maka

$limit as x rightwards arrow infinity of square root of 9 x squared end root minus 7 x minus 5 minus square root of 9 x squared minus 10 x minus 11 end root equals fraction numerator negative 7 minus open parentheses negative 10 close parentheses over denominator 2 square root of 9 end fraction equals 3 over 6 equals 1 half$

Jawaban D

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

I. Roy

Mahasiswa/Alumni Universitas Negeri Surabaya

Terakhir diupdate 04 Oktober 2021