I am considering the tangent method and the secant method as ways to approximate roots of functions, in particular function $5\cos(x-e^{8x})-x$. How can I find the minimum number of iterations $k$, such that for $x_k$ which is the $k$th approximation we have $|f(x_k)| < 10^{−10}$?
2026-03-09 22:40:29.1773096029
Secant method versus tangent method
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