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Home Q & A Board Science-Related Homework Help Mathematics
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Blackout Cake Blackout Cake
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9 years ago
Symbolically find \({\delta}\) in terms of \({\epsilon}\).

lim x->6  5x = 30

A) \({\delta}\) = 5\({\epsilon}\)
B) \({\delta}\) = \({\epsilon}\)/5
C) \({\delta}\) = \({\epsilon}\)/30
D) \({\delta}\) = \({\epsilon}\)/6

An explanation would be nice but isn't absolutely necessary. Slight Smile
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bio_manbio_man
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#1
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9 years ago
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#2
9 years ago Edited: 9 years ago, metal_zelda
\(\delta(\epsilon)=\frac{\epsilon}{m}\) for any linear function. Bio_man's procedure is correct, but it should be noted that he only implied delta=epsilon/5.

Here's a good website for introducing one's self to delta ep proofs: http://www.milefoot.com/math/calculus/limits/DeltaEpsilonProofs03.htm
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#3
Educator
9 years ago
Thanks, Metal.
Blackout C. Author
wrote...
#4
9 years ago
Thanks for the answer and the explanation! And the website link too! It was very helpful! Slight Smile
wrote...
#5
Educator
9 years ago
You're very welcome Slight Smile
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