The function is g(x)= 2x lnx -1 Use Newton-Raphson formula to show this function can be expressed as xn+1 = (xn + 1/2)/(1+lnxn) Thanks

Expert Answers
rcmath eNotes educator| Certified Educator

Newton-Raphson formula states that


Let's find g'(x)


Now let's plug everything in the formula


Dividing the numerator and denominator by 2 give us


`x_(n+1)=[x_n(lnx_n+1)-x_nlnx_n+1/2]/[lnx_n+1] =>`