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Question: a write a function that implements the following pseudocode input...

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(a) Write a function that implements the following pseudo-code Input: f, f, xє, Output: x* 1. Repeat N times: (a) Set y,-x. (b) Take one Newton step, starting from yı. Call the result y2. (c) Take one Newton step, starting from 12-Call the result y3. (d) Set (e) Display |f(x) (f) If If(x)| < є print converged!, break. 2. Output z-х. This algorithm is called Steffensens iteration (b) Write a sctipt to test your function on the problem exp(-r2 +x1.0836 (with initial guess 1) Show that Newton iteration does not converge quadratically, but your new iterative algorithm does

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