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Question: ixi cquot r denote i he voi or spatx of...

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Ixi C (R) denote i he voi or spatx, of infinitely dill rentinhle finntious : R. show that Co (R) is uncountably infinite dimensional by finding an uncountable collection of linearly independent functions (you need to prove that your collection is linearly independent) Hint: One such example is the collection B = {f(x) = erz | re R. Either prove that B is linearly independent, or find your own example.

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