calculus
posted by Mishaka .
What is the limit of the function as x approaches infinity?
4x^4  4^x
Would the limit be positive infinity or negative infinity?

calculus 
Steve
exponentials grow much faster than powers. note that the slope of x^4 = 4x^3 (a lower power), while the slope of 4^x is basically 4^x still.
For example, 10^4 = 10000 but 4^10 =~ 1,000,000
and it gets worse the farther out you go.
So, since you're subtracting a huge number from a smaller number, the limit is oo.
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? 
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
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? 
AP Calculus
Find limit as x approaches 1 5/(x1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity E. None of these 
Calculus
The limit as x approaches 4 ((3x+1)/(x4)^2) is A. 11 B. 13 C. Infinity D. Negative infinity E. DNE 
Algebra 1
Which of the following statements is true about the function ? 
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
Which describes the end behavior of the graph of the function f(x)=2x^35x^2+x?