This problem asks for Taylor polynomials for f(x) = ln(1 + x) centered at a =...
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This problem asks for Taylor polynomials for f(x) = ln(1 + x) centered at a = work in an organized way. 0. Show your (a) Find the 4th, 5th and 6th degree Taylor polynomials for f(x) centered a = 0. (b) Find the nth degree Taylor polynomial for f(x) centered a form. = = 0, written in expanded (c) Find the nth degree Taylor polynomial for f(x) centered a = = 0, written in summation notation. (d) Use the 7th degree Taylor polynomial to estimate ln(2). (e) Compare your answer to the estimate for ln(2) given by your calculator. How accurate were you? This problem asks for Taylor polynomials for f(x) = ln(1 + x) centered at a = work in an organized way. 0. Show your (a) Find the 4th, 5th and 6th degree Taylor polynomials for f(x) centered a = 0. (b) Find the nth degree Taylor polynomial for f(x) centered a form. = = 0, written in expanded (c) Find the nth degree Taylor polynomial for f(x) centered a = = 0, written in summation notation. (d) Use the 7th degree Taylor polynomial to estimate ln(2). (e) Compare your answer to the estimate for ln(2) given by your calculator. How accurate were you?
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