Nilai Limit ➡ 3 x – √2x + 3 / x² – 9 =A. 1/3B. 1/9C. 0D. – 1/3E. 3
Jawaban:
menggunakan dalil L'hospital
Penjelasan dengan langkah-langkah:
dilampirkan pada gambar
pake dalil l'hopital..
lim x–> 3
1 – (1/2(2x+3)^-1/2.2) / 2x
Lim x–> 3
1 – (2x+3)^(-1/2) / 2x
Lim x–> 3
1 – (1/√(2x+3) / 2x
masukkin x = 3, jadi
1 – (1/√(2.3+3) / 2(3) =
1- (1/√9) / 6 =
1- (1/3) / 6 =
(2/3) / 6 =
(2/3)*(1/6) =
2/18 =
1/9