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Precise definition for the limit 
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#1
May1611, 07:44 PM

P: 80

(4x+1)/(3x4)=4.5 lim approaches 2
Find values of delta that correspond to epsilon=0.5 I know how to use the calculator to get the solution. I just want to know how to get rid of that nasty fractions to make things a lot easier. 


#2
May1611, 08:09 PM

Mentor
P: 21,216

What you need to do is to find an interval around 2, (2  δ, 2 + δ), so that no matter what x you pick in the aforementioned interval, (4x + 1)/(3x  4) is between 4.5  .5 and 4.5 + .5. IOW, between 4 and 5. 


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