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(Solved): Use Newton's method to approximate a root of the equation \( \ln (5 x)=\arctan (x-0.1) \) as follow ...
Use Newton's method to approximate a root of the equation \( \ln (5 x)=\arctan (x-0.1) \) as follows. Let \( x_{1}=0.1 \) be the initial approximation. The fourth approximation \( x_{4} \) is and the fifth approximation \( x_{5} \) is