Find the horizontal asymptote of f(x)= -2x2 + 3x +6/x2+1

Explanation:

The function is:

The horizontal asymptote is the value of the function when x grows indefinetly, if that value is a constant.

Find the limit when x approaches ± ∞.

Divide both numerator and denominator by x²

As x approaches ±∞, 3/x, 6/x², and 1/x² approach 0.

Thus the result is:

The horizontal asymptote is y = - 2.

1/5^2 = 7.56/45