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https://math.stackexchange.com/questions/76946/prove-the-inequality-n-geq-2n-by-induction Prove the inequality $n! \geq 2^n$ by induction - Mathematics Stack Exchange I'm having difficulty solving an exercise in my course. The question is: Prove that $n!\geq 2^n$. We have to do this by induction. I started like this: The... n geq 2mathematics stack exchangeproveinequalityinduction https://www.math.harvard.edu/event/interpolation-for-points-in-mathbbpn-ngeq-2/ Interpolation for points in $\mathbb{P}^N, N\geq 2$ - Harvard Math Interpolation problems study hypersurfaces in projective space passing through prescribed sets of points. Classically, one asks how many independent conditions... n geq 2harvard mathinterpolationpointsmathbb https://math.stackexchange.com/posts/76946/revisions Revisions to Prove the inequality $n! \geq 2^n$ by induction - Mathematics Stack Exchange n geq 2mathematics stack exchangerevisionsproveinequality