Nilai x→0lim 3−9+x22x2= …

Pertanyaan

Nilai $limit as x rightwards arrow 0 of space fraction numerator 2 x squared over denominator 3 minus square root of 9 plus x squared end root end fraction equals space horizontal ellipsis$

-18
-12
-9
-6
-3

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 0 of space fraction numerator 2 x squared over denominator 3 minus square root of 9 plus x squared end root end fraction equals equals limit as x rightwards arrow 0 of space fraction numerator 2 x squared over denominator 3 minus left parenthesis 9 plus x squared right parenthesis to the power of begin display style 1 half end style end exponent end fraction equals limit as x rightwards arrow 0 of space fraction numerator 4 x over denominator negative begin display style 1 half end style open parentheses 9 plus x squared close parentheses to the power of begin display style 1 half end style end exponent.2 x end fraction equals limit as x rightwards arrow 0 of space fraction numerator 2 over denominator negative begin display style fraction numerator 1 over denominator 2 square root of 9 plus x squared end root end fraction end style end fraction equals limit as x rightwards arrow 0 of space minus 4 square root of 9 plus x squared end root equals negative 4 square root of 9 equals 4 left parenthesis 3 right parenthesis equals negative 12$