Solving Newton's Method for xn with y as a Constant

DeadxBunny
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Homework Statement


Identify the formula

xn+1 = -2xn + 3yxn^(2/3)

as the Newton's method for a certain function. Here y is a fixed constant. What is the limit of xn?


Homework Equations


Newton's method?:

xn+1 = xn - f(xn)/f'(xn)


The Attempt at a Solution


I don't know how to begin.

Thanks in advance!
 
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1st step- Newton's method gives

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

So rearrange your equation to get f(x_n)/f'(x_n). Then think.
 

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