If \(1 \xrightarrow{D}\mathbf{Set}\) is a functor, what is the limit of \(D\)? Compute using the limit formula and check answer against the limit definition.
There are no arrows, so we just recover the set \(D(1)\) as the limit.
The limit definition first requires the category \(\mathbf{Cone}(1)\)
There is only one possible cone, so \(Cone(1)\cong 1\)
The terminal object in \(1\) is the sole object of the category.