Mathematics, 19.07.2019 14:00 allisonmareesanders2
The maclaurin series for ln(1+x) is given by x - x^2/2 + x^3/3 - x^4/4 + + (-1)^(n+1) x^n/n + on its interval of convergence, this series converges to ln(1+x). let f be the function defined f(x) = x ln(1 + x/3). (a) write the first four nonzero terms and the general term of the maclaurin series for f. (b) determine the interval of convergence of the maclaurin series for f. show the work that leads to your answer. (c) let p₄(x) be the fourth-degree taylor polynomial for f about x = 0. use the alternating series error bound to find an upper bound for |p₄(2) - f(2)|.
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The maclaurin series for ln(1+x) is given by x - x^2/2 + x^3/3 - x^4/4 + + (-1)^(n+1) x^n/n + on...
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