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Ok, let's think we have to find a value in the range 1 to 1 million
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i know its where you guess half way and then see if the answer is lower or higher. I'm just now super clear on how to set it up in python
You should write a psudo code first x is the value you are searching a is the max range b is the min range c is (a+b)/2 -> midpoint if x>c: the min range will be c now. else: the max range will be c now Something like that :) try working around it
Don't forget an epsilon value, or you may end up in an infinite loop.
sounds like binary search
Are you referring specifically to Newton's method? Because that actually has a rather complicated proof to explain why it converges on the square root. For just how to implement it in Python, review the code from Prof. Guttag's examples: http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-00sc-introduction-to-computer-science-and-programming-spring-2011/unit-1/lecture-3-problem-solving/MIT6_00SCS11_lec03.pdf
this video can help you: https://www.youtube.com/watch?v=nJ74bEB-UEw