5. (10 points) The functions F(x) and G(x) are given by F(x) = cartand at and G(z) = earctant it Note: Like the function e , the integrands used to define both F(x) and G(x) are not possible to anti-differentiate in terms of our old, familiar functions, so don't waste your precious time trying. A) (2 points) We can express the function G(x) as a composition of F(r) with another function; that is, we can write G(z) = F(h(r) ). Identify the "inside function" h(I). B) (4 points) Find F'(x) and G'(z). C) (6 points) Check that L'Hopital's rule applies to the limits lim F(x) and lim G(I) -+0 and use this rule to evaluate these limits