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

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rcmath | High School Teacher | (Level 1) Associate Educator

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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] =>`






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