If $h\left( x \right) = \left[ {\ln \frac{x}{e}} \right] + \left[ {\ln \frac{e}{x}} \right]$ ,where [.] denotes greatest integer function, then which of the following is false ?
If $h\left( x \right) = \left[ {\ln \frac{x}{e}} \right] + \left[ {\ln \frac{e}{x}} \right]$ ,where [.] denotes greatest integer function, then which of the following is false ?
- A
Range of $h(x)$ is $\{-1, 0\}$
- B
$h(x)$ is a periodic function
- C
If $h(x) = -1$ , then $x$ can be rational as well as irrational
- D
If $h(x) = 0$ , then $x$ must be irrational
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