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Mathematics, 25.12.2019 07:31 Chavens520

Let a⊆r, let f: a⟶r and let c∈r be a cluster point of a. if lim┬(x⟶c)⁡f exists, and if |f| denotes the function defined for x∈a by |f|(x)≔|f(x)|, prove that |lim┬(x⟶c) |⁡f |=|lim┬(x⟶c)⁡|f|

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Let a⊆r, let f: a⟶r and let c∈r be a cluster point of a. if lim┬(x⟶c)⁡f exists, and if |f| denotes t...
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