Mathematics, 05.07.2019 01:10 adrian08022

Recall that p, where all polynomials of degree less than or equal to n, together with 0 p is the union of all the spaces p that is, p is the space of all polynomials, together with 0. c(r) is the vector space consisting of all continuous functions on n is a natural number, is the vector space consisting of t2, and let h span{p} 1. let p(t) (a) show that h is a subspace of p2 (b) show that h is a proper subspace of p2 (i. e., h is a subspace of p2 and hp2) 2. show that p is a subspace of c(r) 3. show that p is infinite-dimensional 4. show that c(r) is infinite-dimensional.

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Recall that p, where all polynomials of degree less than or equal to n, together with 0 p is the uni...