(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement:

In what region can we choose x_{0}and get convergence to the root x = 0 for f(x) = e^{-1/x^2}

2. Relevant equations

x_{n+1}= x_{n}- f(x_{n}) / f'(x_{n})

3. The attempt at a solution

The only thing I've come across is a formula that says |root - initial point| < 1/M where M = max|f''(x)|/(2min|f'(x)| where x belongs to a "sufficiently small interval"

My thought: [-1,1]

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# Homework Help: Convergence Interval for Newton's Method

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