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  3. 113 prove the following proposition proposition 1119 convergence in the...

Question: 113 prove the following proposition proposition 1119 convergence in the...

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1.13 Prove the following proposition Proposition 1.1.19 (Convergence in the discrete metric). Let X be any set, and let ddisc be the discrete metric on X. Let (x(n))n=m be a sequence of points in X, and let r be a point in X. Then (rn)/m converges to r with respect to the discrete metric ddisc if and only if there exists an Ņ21n such that x() = x for all n > N.

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