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J a h b q ? S { ͌^ z r V ̐É z r V ɑ΂ A ̃C x g \ ̂ S { ͌^ z r V ł B N ͏H ̖ b Z 𕑑 ɁA S z r W W ĊJ  à ܂ B ڂ̐V i ̔ \ s A t @ ɂƂ Č Ȃ j X ς ł B V 15 15 N6 i y j900 `1700 @6 21 i j900 `160022 3 Continuous Functions If c ∈ A is an accumulation point of A, then continuity of f at c is equivalent to the condition that lim x!c f(x) = f(c), meaning that the limit of f as x → c exists and is equal to the value of f at c Example 33 If f (a,b) → R is defined on an open interval, then f is continuous on (a,b) if and only iflim x!c f(x) = f(c) for every a 2 40'ã 'j« "¯Œ^ ŠÛŠç ƒxƒŠ[ƒVƒ‡[ƒg