If limit of f(x)=27f(x)=27 as x->cx→c, what the limit of (f(x))^(3/2)(f(x))32 as x->cx→c?
1 Answer
Jul 17, 2017
Explanation:
Roots and powers are continuous (have limits that can be found by sucstitution).
Therefore
= (27)^(3/2) = (sqrt27)^3 = 27sqrt27 = 27 * 3sqrt3 = 81sqrt3
Bonus
= (27)^(2/3) = (root(3)27)^2 = 3^2 = 9