Question: 4. Let f(x) = In(7 + x). (a) Identify the general formula for f()(x), where n > 1. Then identify the coefficients an in the

4. Let f(x) = In(7 + x). (a) Identify the general formula for f(")(x), where n > 1. Then identify the coefficients an in the Maclaurin series of f. Hint: Compute do separately. (b) Use (a) to find the Maclaurin series of f. (c) Alternatively, find the Maclaurin series of f by integrating a rational function. What is the radius of convergence? In(7 + x) - In 7 (d) Find the "exact" value of dr. o (e) Approximate the integral above to 6 decimal places
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