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64 lines
967 B
64 lines
967 B
2 years ago
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Exercise 1.31:
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The sum procedure is only the simplest of a vast number of similar
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abstractions that can be captured as higher-order procedures.51 Write an analogous
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procedure called product that returns the product of the values of a
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function at points over a given range. Show how to define factorial in
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terms of product. Also use product to compute approximations to
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π
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using the formula52
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π
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4
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=
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⋯
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⋯
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.
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If your product procedure generates a recursive process, write one that
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generates an iterative process. If it generates an iterative process, write
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one that generates a recursive process.
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