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What does the letter epsilon signify in mathematics? The greek letter epsilon, written ϵ ϵ or ε ε, is just another variable, like x x, n n or T T Conventionally it's used to denote a small quantity, like an error, or perhaps a term which will be taken to zero in some limit It's possible that you are confusing it with the set membership symbol ∈ ∈, which is something different
analysis - What does $\epsilon$ mean in this formula - Mathematics . . . The symbol is called "epsilon," and is simply a variable, just like x x or y y However, note that ϵ ϵ is most commonly used in analysis as an arbitrarily small (but positive) value If you are new to the idea of an ϵ ϵ -neighborhood, check out this post Be sure not to confuse " ϵ ϵ " with " ∈ ∈ ", which means "element of " These symbols both looks like "e"s, but have much different
notation - Backwards epsilon - Mathematics Stack Exchange What does the $\\ni$ (backwards element of) symbol mean? It doesn't appear in the Wikipedia list of mathematical symbols, and a Google search for "backwards element of" or "backwards epsilon" turns
How exactly do I prove the limit of a sequence using the $\epsilon$-$N . . . I understand how to use the ϵ - N method when proving the limit of a sequence However, I feel as though it is just a big guessing game Take this for instance; The sequence below converges to 5 as n tends to ∞ But, in proving this, there is a lot I still find confusing an = 5n2 − 1 n2 + 3