How do you find the horizontal asymptote when there is not x in the numerator?
Ex. (1/x+3)-7
+23252 Find the value of the expression as the expression goes to infinity and as the expression goes to negative infinity.
As x goes to infinity, the fraction 1/x goes to zero; so (1/x + 3) - 7 goes to (0 + 3) - 7 = 3 - 7 = -4.
As x goes to negative infinity, the fraction 1/x again goes to zero, so the limit is again -4.
Thus, the horizontal asymptate occurs at y = -4.
