When we say (x) is to we measure closeness by the distance between (x) and expressed L,” f L, “f using absolute values: When we say close to as we want,” we use (the Greek letter epsilon) to specify how close. We L “as ε write to indicate that we want the distance between (x) and to be less than In Example we used f L ε. = 0.01. Similarly, we interpret is sufficiently close to as specifying a distance between and c” x ε “x c:
When we say “f (x) is to L,” we measure closeness by the distance between f (x) and L, expressed using absolute values: When we say “as close to L as we want,” we use ε (the Greek letter epsilon) to specify how close. We write to indicate that we want the distance between f (x) and L to be less than ε. In Example we used ε = 0.01. Similarly, we interpret “x is sufficiently close to c” as specifying a distance between x and c:
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