Please determine the following limits if they exist. If the limit does not exist put DNE.

lim 2+6x-3x^2 / (2x+1)^2

x-> - infinity

lim 4n-3 / 3n^2+2

n-> infinity

I did

lim 2+6x-3x^2 / (2x+1)^2

x-> - infinity

(2+6x-3x²)/(4x²+4x+1)

(2/x² + 6/x -3)/(4 + 4/x + 1/x²)

as x-> - infinity. My answer is -3/4

lim 4n-3 / 3n^2+2

n-> infinity

Answer is 0.