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Let V be the set of all sequences an) of real numbers. Show that V is a vector space over R with operations + and defined in natural way. That is, if an) and {bn) are elements of V and c R, then In each of the following find out if the subset S is a subspace of V. (a)San):100 2) (c) S = {{an} : ninan d) S-Iant: lim an exists and is a real number noo

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