Let be the space of functions of the real variable which are differentiable infinitely many times. Consider the linear map such that where is the first derivative of with respect to .
Find the right statement.

Question

Let    be the space of functions of the real variable    which are differentiable infinitely many times. Consider the linear map    such that    where    is the first derivative of    with respect to   . 
 Find the right statement.

Answer

is an eigenvalue of   .

Answer

is not a finitely dimensional vector space.

Answer

does not have real eigenvalues.

Answer

is injective.

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Let be the space of functions of the real variable which are differentiabl...

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