Prove that the given subset W is a subspace of
V , or show why it is not a subspace of V .
V=c∞(R) , W is the set of functions f⊆V for which
lim f(x) = 0
x→∞

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wait, why doesn't V include zero?! the zero function has infinitely many derivitives right?!

oops sorry, i meant W does not include the zero vector

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