Prove that If lim→0 () exist, then it is Unique.
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The limit of a function is unique if it exists. f(x) = L2 where L1,L2 E R. For every € > 0 there exist 81,62 >0 such that 0 < x-cl < 61 and x € A implies that f(x) - L1|< €/2, 0 < x-cl<82 and x E A implies that If(x) - L2|< €/2.... We can rephrase the e-6 definition of limits in terms of neighborhoods.
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