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29 lines
500 B
29 lines
500 B
2 years ago
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Exercise 1.38: In 1737, the Swiss mathematician
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Leonhard Euler published a memoir De Fractionibus Continuis, which
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included a continued fraction expansion for
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e
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−
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2
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, where
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e
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is the base
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of the natural logarithms. In this fraction, the
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N
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i
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are all 1, and
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the
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D
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i
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are successively 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, ….
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Write a program that uses your cont-frac procedure from Exercise 1.37
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to approximate
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e
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, based on Euler’s expansion.
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