Lim (x-2) 2x-4 per 3- akar x²+5

maksudnya gini kali????
lim x→2 (2x - 4)/(3 - √(x² + 5))
rasionalkan...... limit tdk saya tulis
= (2x - 4)(3 + √(x² + 5))/(9 - (x² + 5))
= 2(x - 2)(3 + √(x² + 5))/(4 - x²)
= -2(2 - x)(3 + √(x² + 5))/[(2 - x)(2 + x)]
= -2(3 + √(x² + 5))/(2 + x)
masukan x→2
= -2(3 + √(2² + 5))/(2 + 2)
= -3