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

Question

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.

Answer 1

both are right.