Exercise 7.6.6.11. Let $\kappa $ be an infinite cardinal, let $F: \operatorname{\mathcal{C}}\rightarrow \operatorname{\mathcal{D}}$ be a functor of $\infty $-categories, and suppose that $\operatorname{\mathcal{C}}$ is $\kappa $-complete. Show that $F$ preserves $\kappa $-small limits if and only if it preserves finite limits and $\kappa $-small products.
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