Let de and d be the Euclidean metric and Taxicab metric on R2, respectively. Show that if p, q E R², then de (p, q) ≤dt(p, q) ≤ 2. de (p, q). Conclude that a sequence in R2 converges with respect to the Euclidean metric if and only if it converges with respect to the Taxicab metric.

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A: Discrete metric space.

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A: We will use the definition of metric function to sketch.