Mastering Limit Problems: Homework Statement & Solution | 65 Characters

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Homework Help Overview

The discussion revolves around a limit problem involving the expression (b-x) divided by the difference of square roots, specifically lim x>b (b-x)/√x-√b. Participants are exploring methods to evaluate this limit.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to simplify the expression by multiplying the numerator and denominator by (b+x). Other participants suggest using the conjugate of √x - √b for simplification. There is a question about whether the conjugate should be √x + √b.

Discussion Status

Participants are actively discussing different approaches to simplify the limit expression. Some have provided attempts at solutions, while others are questioning the correctness of those attempts. There is no explicit consensus on the correct method or outcome yet.

Contextual Notes

One participant notes that a previous solution provided may be incorrect, indicating a need for further clarification on the steps taken to reach that conclusion.

screamtrumpet
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Homework Statement


lim
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 [tex]\sqrt{x}-\sqrt{b}[/tex]...
 
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.
 

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