Q.2. Find the root of the equation $f(x) = \frac{\ln(1+x)}{x} - \frac{3}{5} = 0$, in the interval $[1.5, 2]$ (correct up to three decimal places), using the Secant method, with the initial guesses $x_0 = 1.5$, $x_1 = 2$.
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The formula for the Secant method is given by: $x_{n+1} = x_n - \frac{f(x_n)(x_n - x_{n-1})}{f(x_n) - f(x_{n-1})}$ Here, $x_0 = 1.5$ and $x_1 = 2$. We need to find $x_2$, $x_3$, and so on until the desired accuracy is achieved. Show more…
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