Mastering Limit Problems: Homework Statement & Solution | 65 Characters

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Homework Statement


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x>b (b-x)/sqr rootx-sqr root b





The Attempt at a Solution


I multilplied the top and bottom by b+x and found b-x^s on the top and x-b on the bottom
 
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Try multiplying through by the conjugate of \sqrt{x}-\sqrt{b}...
 
so would that be square root x plus square root b?
 
Yes it should be.
 
after factoring and simplifying i got my answer to be 2b
 
screamtrumpet said:
after factoring and simplifying i got my answer to be 2b

Not right. If you would show how you got there someone might be able to tell you why it's wrong.
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'
Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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