In each of the following cases, either prove that the given subset W is a subspace of
V , or show why it is not a subspace of V .
a) \[V= c ^\infty (\mathbb{R})\] , W is the set of functions f⊆V for which
lim f(x) = 0
\[x \rightarrow \infty\].

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Can you explain what \(e^{\infty} (\mathbb{R})\) is?

its not e, it's C . like, constant i believe?

its a vector space.

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