Let C = {f : f is real valued, f is continues, and f has nth derivative} be the subset of F(R, R). Where F(R, R) is a vector space of all types of functions with domain R and co-domain R. Functions in C have domain R and co-domain R as well. (i.e f: R → R}. Show that C is a subspace of F(R, R).

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1 Additive identity The zero function is real valued continuos and has nth ... View the full answer