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Determine the Third Taylor Polynomial of F(x) = Ln(2 - ln(1.3).\ln ( 1.3 ) .

Question 31

Short Answer

Determine the third Taylor polynomial of f(x) = ln(2 - x) at x = 1 and use it to estimate ln(1.3).\ln ( 1.3 ) . [Hint: ln(1.3)=f(0.7)\ln ( 1.3 ) = f ( 0.7 ) .]
Enter your answer as an unlabeled polynomial in x1x - 1 in standard form : ln(1.3)p3(0.7)=0.264\ln ( 1.3 ) \approx p _ { 3 } ( 0.7 ) = 0.264

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