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The document outlines the implementation of the Modified Secant Method to find the root of the function f(x) = e^(-x) - x, starting with an initial guess of x0 = 0.5 and a perturbation factor of δ = 0.01. It details the iterative process, convergence criteria, and visualizations of each iteration, ultimately converging to a root at approximately x = 0.5671432904 after 4 iterations. Additionally, it includes sensitivity analysis for different δ values and confirms the root

Author

Saquib

Language

EN