In the vector space , let S be the set of all sequences such that there exists some such that for all (all eventually-zero sequences). Determine if S is a subspace of , and if not explain why.

Question

In the vector space  , let S be the set of all sequences  such that there exists some  such that  for all  (all eventually-zero sequences). Determine if S is a subspace of  , and if not explain why.

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The Answer of In the vector space  , let S be the set of all sequences  such that there exists some  such that  for all  (all eventually-zero sequences). Determine if S is a subspace of  , and if not explain why.

In the Vector Space , Let S Be the Set