calculus
posted by Mishaka .
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.
Respond to this Question
Similar Questions

calculus
what is the answer for the integral of (1/(xln(x)) from 1 to infinity? 
calculus
What is the limit of the function as x approaches infinity? 
Calculus
i was just wondering if the limit of a funtion exists as it approches a value if both the right side limit and the left side limit both equal the same infinity ( postive inififnty for both sides, or negative infinty for both sides). … 
MATH
I have been trying to do this problem for a couple of days but i cant seem to get the answer. Any help would be greatly appreciated. For each of the following forms determine whether the following limit type is indeterminate, always … 
Calculus
I am maybe overthinking this, but what is the lim as n> infinity of (n+1)/(n+2) ? 
MathCalculus
Hi, I am trying to figure out what the limit as h approaches 0 of (12h)^(1/h) is. I am unfamiliar with the process I am supposed to use to solve this limit. I have just been reasoning out this limit, but I keep getting the answer, … 
Calculus
Find limit as x approaches 1 5/(x1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity If I use limit as h approaches 0 f(x+h)f(x)/h , will I get an x in the answer? 
Calculus
F(x)=(2x1)/ (x 3) Rewrite f(x) as a piecewise function. Then find the limit as it approaches positive infinity and negative infinity. 
Calculus
F(x)=(2x1)/ (x 3) Rewrite f(x) as a piecewise function. Then find the limit as it approaches positive infinity and negative infinity. 
Math
f(x) = cos (1/x) Find the limit as x approaches infinity and find the limit as x approaches negative infinity. Identify all horizontal asymptotes.