I have tried understanding this proof at least 3 times now thinking it would clear up eventually. It has not.
I don’t know why we have to assign these special variables epsilon and delta in the first place, why not a and b, or any other regular letter? is there some history with epsilon/delta?
Can someone explain it’s significance in it’s most basic form? like before you even try applying it to a derivative using the fundamental limit theorem?
In: Mathematics
Delta is a common term for difference. So it is used several places in mathematics, for example calculus, to denote a very small difference between two inputs to a function. Epsilon is the next letter in the Greek alphabet from delta. So for the same reason you would use a and b, i and j, x and y, etc. it is natural to use delta and epsylon together.
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