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Let D be an unbounded domain of f and let {x_n} be a sequence in D such that lim_(n->infinity) x_n = infinity and lim_(n->infinity) f(x_n)

Let D be an unbounded domain of f and let {x_n} be a sequence in D such that lim_(n->infinity) x_n = infinity and lim_(n->infinity) f(x_n) = L. Prove lim_(n->infinity) f(x) = L.

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