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Write out the power series of the function f(x) = In(1+ x) centered at r =...

Question:

Write out the power series of the function f(x) = In(1+ x) centered at r = 0. Determine the interval and radius of convergenc
Write out the power series of the function f(x) = In(1+ x) centered at r = 0. Determine the interval and radius of convergence. Use the power series and properties of the natural logarithm to approximate n to the nearest hundredths, and show the approximation is within 0.01. Please show your work

Answers

Cn) Inci +x ) Centered at :0 Ne know that the Macaurin Series for a funchon aven b 2 11 F(x)=fCO) +Xf CO) t fCo)+ 4! fro) -InCEMURE OU WAAHEWWITCVE ac CEe poNer Series for fcA) lncit i The fca fo)+xfco Xk ln(1t) 0+ x (L) + (-0+ a) + - 31 10C142) (-)put x- - 2 64 -0 -0 -A -03 S 1pd Simplita to the Values ane appronimately near to o-O

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