k+1 (3 pts) Prove that the maximum number of nodes in a binary tree of depth...

 

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k+1 (3 pts) Prove that the maximum number of nodes in a binary tree of depth k is 2+¹ - 1, k≥ 1. (Hint: you can proof it by induction - basis, inductive hypothesis, and inductive step.) (Note: You should show all your works in order to receive a full grade) 2 k = 1 # node (n) = 3 2 5 k = 2 # node (n₂) = 7 8 k+1 (3 pts) Prove that the maximum number of nodes in a binary tree of depth k is 2+¹ - 1, k≥ 1. (Hint: you can proof it by induction - basis, inductive hypothesis, and inductive step.) (Note: You should show all your works in order to receive a full grade) 2 k = 1 # node (n) = 3 2 5 k = 2 # node (n₂) = 7 8

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1 OC Let denotes the maximum number of nodus on Mr I Base Care ... View the full answer