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Homework Statement
Let (X,d) be a metric space and let [tex]{x_n}[/tex] be a sequence in X converging to a. Show that d(b,[tex] x_n [/tex]) ->d(b,a)
Homework Equations
The Attempt at a Solution
For every eps > 0 there is an N such that d(x_n,a) < eps for all n>= N
But where do I go from here? triangel inequality?
[tex] d(b,a) <= d(b,x_N) + d(x_N, a) <= d(b,x_N) + \epsilon [/tex]
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