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12 Nov 2019
Recall from calculus that a function f: R rightarrow R (i.e., the domain of f is all real numbers and its values are real numbers) is continuous if lim_x rightarrow a f(x) = f(a) for all real a. Let V be the set of all continuous functions. Prove that V is a vector space. Check all 10 conditions.
Recall from calculus that a function f: R rightarrow R (i.e., the domain of f is all real numbers and its values are real numbers) is continuous if lim_x rightarrow a f(x) = f(a) for all real a. Let V be the set of all continuous functions. Prove that V is a vector space. Check all 10 conditions.
Deanna HettingerLv2
14 Apr 2019