Usually the questions tell you what $\displaystyle x_{0} = $ some number, but not sure how to start with this one, any help appreciatedShow that by putting $\displaystyle x_{n+1} = x_{n} = x $ that if the sequence defined by $\displaystyle x_{n+1} = \frac{1}{2}( x_{n} + \frac{N}{x_{n}}) $

converges, it will converge to $\displaystyle \sqrt{N} $

thank you