Mathematics

Mathematics

Problem

Which statement best describes when the limit lim⁡x→cf(x)\displaystyle \lim_{x\to c} f(x) exists? a) It exists whenever f(c)f(c) is defined. b) It exists if and only if f(x)f(x) approaches the same finite value from both sides of cc. c) It exists whenever both one–sided limits exist, even if they are unequal. d) It exists only when f(x)f(x) is continuous at x=cx=c.

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