Let F(x) = (x + 1) ln(1 + x) x. (a) Apply integration to the result
Question:
Let F(x) = (x + 1) ln(1 + x) − x.
(a) Apply integration to the result of Exercise 49 to prove that for −1
(b) Evaluate at x = 1/2 to prove
(c) Use a calculator to verify that the partial sum S4 approximates the left-hand side with an error no greater than the term a5 of the series.
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