## Question

###### (a) Use the power series for find power series representation of f (z) = In([ ~T) What is the radlius of convergence? (Note: YOu don need to use the ratio test here because we know the radlius of convergence o the series Xae0- Use part (a) to fiuc] power" series for f () =cln( - #) By putting ^ = in vour result from part (a), express In 2 as the Sum of an infinite sericsUsepOwer' sericsapproximate the dlefinite integraldr 6o six dlecimal 0+r'pacos_

(a) Use the power series for find power series representation of f (z) = In([ ~T) What is the radlius of convergence? (Note: YOu don need to use the ratio test here because we know the radlius of convergence o the series Xae0- Use part (a) to fiuc] power" series for f () =cln( - #) By putting ^ = in vour result from part (a), express In 2 as the Sum of an infinite serics Use pOwer' serics approximate the dlefinite integral dr 6o six dlecimal 0+r' pacos_

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