# What is the limit of # (sqrt(x^4 - 6x^2)) - x^2# as x goes to infinity?

So we'll do some algebra:

By signing up, you agree to our Terms of Service and Privacy Policy

The limit of (sqrt(x^4 - 6x^2)) - x^2 as x goes to infinity is -3.

By signing up, you agree to our Terms of Service and Privacy Policy

- What is rational function and how do you find domain, vertical and horizontal asymptotes. Also what is "holes" with all limits and continuity and discontinuity?
- Given two graphs of piecewise functions f(x) and g(x), how do you know whether f[g(x)] and g[f(x)] are continuous at 0?
- How do you evaluate # (3+10x)/(6x-10)# as x approaches infinity?
- How do you find the limit of #sinx/(5x)# as #x->0#?
- How do you determine the limit of #(7(e^(5n))+5n)^(1/n)# as n approaches infinity?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7