Limit: find a, b so lim, x->0, ((ax+b)^(1/2)-1)/(x) = 1

jmota

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Jan 11, 2009
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The question is: find a and b so that
lim ((ax+b)^(1/2)-1)/(x) = 1. how do I find a and b?
x to 0
 
Re: Limit

First note what happens if you try finding the limit in general. You end up with b10\displaystyle \frac{\sqrt{b}-1}{0}. So let b=1\displaystyle b=1. Now you can find a specific limit, which will provide the value for a\displaystyle a.
 
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