domain of ln{x} where {}is the fractional part

Asked by farhanaedavath | 22nd Jun, 2022, 07:43: PM

Expert Answer:

Let f(x) = ln{x}
Now, f(x) is defiined when {x}>0
But space left curly bracket straight x right curly bracket element of left square bracket 0 comma 1 right square bracket space and space left curly bracket straight x right curly bracket equals 0 space when space straight x element of straight Z
Therefore comma space domain space of space straight f left parenthesis straight x right parenthesis space is space straight R minus straight Z

Answered by Renu Varma | 25th Jun, 2022, 12:24: PM

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