- Let g(x) = ecos(x)1 (a) Determine the Taylor series for g expanded at x = 0 up the fourth degree term. (b) Use the series found in (a) to show that g has a local maximum or minimum at x = 0. Classify it as a maximum or minimum. 2 (c) Describe in words the process you would use to determine if g has a local maximum or minimum at x = 4.