How many numbers in the interval 0 x 1 can be expressed in the form

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How many numbers in the interval 0 ≤ x ≤ 1 can be expressed in the form .##, where each # is a digit 0, 1, 2, 3, · · •, 9? How many are there of the form.#####? Following this idea, and Exercise 15, decide what you would consider to be the value of 10ϰ0 • How about 12ϰ0 and 2ϰ0?

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