- #1

vickon

- 3

- 0

Assume that g is function such that

(i) g(c)= c+m(x-1)

(ii) f(1) = g(1), and

(iii) \lim_{{x}\to{1}}\frac{f(x)-g(x)}{x-1}

Answer the following questions. Show all of your work, and explain your reasoning.

(a) What are the constants c and m?

(b) How does g compare with the linearization of f at 1?

For a, I have that the constant c=1, but I'm having trouble determining the constant m. I also am not sure what is required to answer part b.