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Find the Taylor Polynomial of Degree 4 at 0 for the Function

Question 53

Essay

Find the Taylor polynomial of degree 4 at 0 for the function defined by f(x)=ln(1+x)f ( x ) = \ln ( 1 + x ) . Then compute the value of ln(1.1)\ln ( 1.1 ) accurate to as many decimal places as the polynomial of degree 4 allows.

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