Verified answer

ну сначала упростим

(16-x²)/(8x-2x²) = (4-x)(4+x)/2x(4-x) = (4+x)/2x = 2/x + 1/2

lim(x-1) (2/x + 1/2) = 2 + 1/2 = 2 1/2

lim(x-4) (2/x + 1/2) = 2/4 + 1/2 = 1

lim(x-∞) (2/x + 1/2) = 2/∞ + 1/2 = 1/2