What if limit is infinity minus infinity?

Answer

The limit of infinity minus infinity is indeterminate.

Write the given limit. A: lim n->∞ (n - ∞)
Rewrite the given limit. A: lim n->∞ (n - ∞) = lim n->∞ n - lim n->∞ ∞
Solve each limit separately. A: lim n->∞ n = ∞ and lim n->∞ ∞ = ∞
Substitute in the values of the limits. A: lim n->∞ (n - ∞) = ∞ - ∞
This limit is indeterminate. A: The limit of infinity minus infinity is indeterminate.