Posted by **Mishaka** on Saturday, October 8, 2011 at 6:07pm.

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**, Saturday, October 8, 2011 at 6:29pm
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.

## Answer This Question

## Related Questions

- Calculus - F(x)=(2x-1)/ (|x| -3) Rewrite f(x) as a piecewise function. Then ...
- Calculus - F(x)=(2x-1)/ (|x| -3) Rewrite f(x) as a piecewise function. Then ...
- calculus - what is the answer for the integral of (1/(xln(x)) from 1 to infinity...
- MATH - I have been trying to do this problem for a couple of days but i cant ...
- Calculus - Find limit as x approaches 1 5/(x-1)^2 A. 0 B. Negative infinity C. 5...
- AP Calculus - Find limit as x approaches 1 5/(x-1)^2 A. 0 B. Negative infinity C...
- Calculus - The limit as x approaches 4 ((-3x+1)/(x-4)^2) is A. -11 B. -13 C. ...
- calculus - What is the limit of the function as x approaches infinity? (x^4 - 7x...
- Algebra 1 - Which of the following statements is true about the function ? It ...
- Calculus - Find the horizontal asymptote of f(x)=e^x - x lim x->infinity (e^x...

More Related Questions