abdulrhmanslmon abdulrhmanslmon

13-10-2019
Mathematics

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What is the domain of this function ln(sin(πx))?

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sqdancefan sqdancefan

13-10-2019

Answer:

2n < x < 2n+1 . . . . for any integer n

Step-by-step explanation:

The function is only defined where sin(πx) is positive, so x will be between 0 and 1 (not inclusive). The pattern repeats for (2, 3), (4, 5), (6, 7), and so on.

The domain is (2n, 2n+1) for any integer n.

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