Question

Lim 5x2 + x – 2 / 2x2 + 1
x→∞

Answer 1

lim (5x²+x-2)/2x²+1 = x²(5+1/x-2/x²)/x²(2+1/x²) = (5+1/x-2/x²)/(2+1/x²)
x→∞

lim (5+1/x-2/x²)/(2+1/x²) = (5+0-0)/(2+0) = 5/2
x→∞