Recall that the CES function is homogeneous of degree one (exercise 3.163), while the Cobb-Douglas function is

Question:

Recall that the CES function is homogeneous of degree one (exercise 3.163), while the Cobb-Douglas function is homogeneous of degree a1 + a2 + ... + an (example 3.69). In the previous example we assumed that a1 + a2 + ... + an = 1. What is the limit of the CES function when a1 + a2 + ... + an ≠ 1?