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

Short Answer

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