8: The values are (recall that candidate points that are not in M must be evaluated as limits)

To handle the indeterminate difference we first used substitution to pass to limit at infinity (which we can "feel" better), then used the method recommended for expressions with powers, namely factoring our the dominant term. The little fraction in the parentheses then goes to zero by l'Hospital's rule.

Identify the largest and smalles value. Is it attained in M?

Answer