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Let f(x) = e x ? 2. Prove that for every starting point x0 Newton’s method converges to ln 2.Let f(x) = e x ? 2. Prove that for every starting point x0 Newton’s method converges to ln 2.Let f(x) = e x ? 2. Prove that for every starting point x0 Newton’s method converges to ln 2.Let f(x) = e x ? 2. Prove that for every starting point x0 Newton’s method converges to ln 2.Let f(x) = e x ? 2. Prove that for every starting point x0 Newton’s method converges to ln 2.Let f(x) = e x ? 2. Prove that for every starting point x0 Newton’s method converges to ln 2.Let f(x) = e x ? 2. Prove that for every starting point x0 Newton’s method converges to ln 2.

Answer

Small Tutor Farzad Farzanegan

First find g(x) x-f(x)/f'(x)=x-(e^x-2)/e^x=x-1+2e^-x then we find the min g'(x)=0...