Q5. The Taylor Series is defined using the following summation: f(n) (a) n! f(x) = -(x -a)n n=0 where f(n) (a) represent

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Q5 The Taylor Series Is Defined Using The Following Summation F N A N F X X A N N 0 Where F N A Represent 1 (25.72 KiB) Viewed 29 times

Q5. The Taylor Series is defined using the following summation: f(n) (a) n! f(x) = -(x -a)n n=0 where f(n) (a) represents the nth order derivative of f(x) with an input of a, the central point of the series. a) Write the first five terms in the Taylor Series for f(x) = ln(√x), with a central point of a = 1. (7) b) Use this series to estimate the value of In (√2). Give your estimation to six decimal places. (2) (9 marks)