Question: 3. (10 points) The functions F(r) and G(r) are given by F(x) = esint at and G(x) = esint at Note: Like the function e

 3. (10 points) The functions F(r) and G(r) are given by

3. (10 points) The functions F(r) and G(r) are given by F(x) = esint at and G(x) = esint at Note: Like the function e , the integrands used to define both F(r) 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(x) with another function; that is, we can write G(x) = F(h(r) . Identify the "inside function" h(I). B) (4 points) Find F'(x) and G'(x). C) (6 points) Check that L'Hopital's rule applies to the limits lim F(I) and lim G(x) and use this rule to evaluate these limits

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