Question: In each case below, show that either the statement is true or give an example that shows that it is false. U = {f F(N)|

In each case below, show that either the statement is true or give an example that shows that it is false.

  1. U = {f F(N)| such that such that f(k+1) = f(k) whenever k 0} is a subspace of F(N).
  2. U = {p | p P2 such that p(1)+p(0)=0} is a subspace pf P3.

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