Question

What is the limit of `((2-x)^2(3-x)^2(1-x)) / (2-x^2)^2` as x goes to infinity?

Answer 1

The numerator has leading term `-x^5`, the denominator has leading term `x^4`.

Explanation:

The terms other than the leading term do not matter for `xrarroo`, so

`lim_(xrarroo)((2-x)^2(3-x)^2(1-x)) / (2-x^2)^2= -oo`