What is the result of the various tree traversals when performed on an arithmetic expression tree?

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There are generally considered to be four distinct binary tree traversals: preorder, inorder, postorder and level-order. Consider the following questions about these different kinds of traversals. Answer one of them that has not already been answered.

What is the result of the various tree traversals when performed on an arithmetic expression tree?
Which of the traversals are depth-first? Which are breadth-first?
Which kind of traversal of a binary search tree produces the values in sorted order?
Which of the traversals lend themselves to recursive solutions? Why are those solutions much simpler than their iterative counterparts?
Provide the outline of the algorithm for a level-order traversal.
Choose one type of tree traversal and give an example of a situation, in which it would be useful.

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