Precise definitions for left- and right-sided limits Use the following definitions.
Assume f exists for all x near a with x > a. We say the limit of f(x) as x approaches a from the right of a is L and write , if for any ε > 0 there exists δ > 0 such that
Assume f exists for all x near a with x , if for any ε > 0 there exists δ > 0 such that
Comparing definitions Why is the last inequality in the definition of , namely, 0<|x − a| < δ, replaced with 0<x − a<8 in the definition of
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