(a) Prove that for every positive integer n, one can find n + 1 linearly independent vectors in F(-∞, ∞). [Hint: Look for polynomials.] (b) Use the result in part (a) to prove that F(-∞0, ∞) is infinite- dimensional. (c) Prove that C(-∞0, ∞), C (-∞, co), and C(-∞0, ∞) are infinite-dimensional.

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Q: the basis of P2 cons tive to B.

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