Question: Define the height of a tree as the maximum number of edges between the root and any leaf. We consider the height of an empty

Define the height of a tree as the maximum number of edges between the root and any leaf. We consider the height of an empty tree to be -1, and the height of a tree consisting of a single node to be 0.

Prove by induction that every non-empty binary tree of height h contains fewer than 2^h+1 nodes.

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