Question: Suppose that a Rn that L Rm, and that f: Rn Rm. Prove that if f(x) L as x a,

Suppose that a ∈ Rn that L ∈ Rm, and that f: Rn → Rm. Prove that if f(x) → L as x → a, then there is an open set V containing a and a constant M > 0 such that ||f(x)|| < M for all x ∈ V.

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