Operadic limit in sym mon category

Example 18.1.3. If \(\Oo = \Mm _C\) for a symmetric monoidal \(\infty \)-category \(C\), then any limit in \(C\) is automatically operadic. This is because the tensor product provides a natural equivalence \[ \Mm _C((x_1, \dots , x_n); -) \simeq \Hom _C(x_1 \otimes \dots \otimes x_n, -), \] and the functor \(\Hom _C(X,-)\) preserves limits for any object \(X\).