A polynomial on Rn of degree N is a function of the form where aj1 jn are
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where aj1 ˆ™ ˆ™ ˆ™ jn are scalars, N1,..., Nn are nonnegative integers, and N = N1 + N2 + ˆ™ ˆ™ ˆ™ + Nn. Prove that if P is a polynomial on Rn and a ˆˆ Rn, then limx†’a P(x) = P(a).
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Let a R n Suppose for a moment that the projection function ...View the full answer
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