# calculus

posted by .

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 -

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.

## Similar Questions

1. ### calculus

what is the answer for the integral of (1/(xln(x)) from 1 to infinity?
2. ### calculus

What is the limit of the function as x approaches infinity?
3. ### 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 …
4. ### Calculus

Find limit as x approaches 1 5/(x-1)^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?
5. ### AP Calculus

Find limit as x approaches 1 5/(x-1)^2 A. 0 B. Negative infinity C. 5/4 D. Infinity E. None of these
6. ### Calculus

The limit as x approaches 4 ((-3x+1)/(x-4)^2) is A. -11 B. -13 C. Infinity D. Negative infinity E. DNE
7. ### Algebra 1

Which of the following statements is true about the function ?
8. ### Calculus

F(x)=(2x-1)/ (|x| -3) Rewrite f(x) as a piecewise function. Then find the limit as it approaches positive infinity and negative infinity.
9. ### Calculus

F(x)=(2x-1)/ (|x| -3) Rewrite f(x) as a piecewise function. Then find the limit as it approaches positive infinity and negative infinity.
10. ### Math

Which describes the end behavior of the graph of the function f(x)=-2x^3-5x^2+x?

More Similar Questions