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Question: heyyy can someone please help me with each part of...

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Heyyy can someone please help me with each part of this question! Thanks

3. Below you are given a subset S of a well known vector space V. Is S is a subspace of V? If so, prove it. If not, provide a counterexample. (See the book for definitions of the given V, if necessary.) Use Thm. 1.3 on p. 17 rather than the theorem we used in MTH 165. (a) V FR, R), the set of real valued functions on R, and eV linm lim f(t) 0 (b) V is the set of real sequences, and (c) V-C((0,00)), the set of continuously differentiable functions on (0, 0o), and (Continuously differentiable means the derivatives of the functions are continuous.

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