# Find delta given epsilon

Could you help me with the problem?

Find delta using the definition of limits, given epsilon = 0,25

lim 1 / (2-x) = -1/3
x->5

Answer should be delta = 1
How can I get it?

Thanks.

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Apply the definition of limits to

lim 1 / (2-x) = -1/3
x->5

Landau
Note that there is not just one correct answer. If some delta works, then any smaller one (>0) also works.

You musn't have understood the book or whatever you used to learn about the formal definition of the limit.

I can't go crazily deep into it but I'm sure my links will help you understand the idea behind it.

http://www.5min.com/Video/The-Formal-Definition-of-a-Limit-169078903

This link will give you an idea of the general idea.

This video (and the one following it in the playlist) give some examples on applying it.