calculus
posted by Mishaka on .
What is the limit of the function as x approaches infinity?
(x^4  7x + 9) / (4 + 5x + x^3)
From what I know, the limit should be infinity since the greater exponent is in the numerator. However, I am only given the options: 0, (1/4), 1, 4, or Does not exist. Is there an error on the part of the answers given, or am i doing this wrong?

You are right.
as x gets big, the function looks like x^4/x^3 which is x which gets big. Infinity is correct.