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If f (x) =[ln (x)/(e) +[ln (e)/(x)], whe...

If `f (x) =[ln (x)/(e) +[ln (e)/(x)],` where [.] denotes greatest interger function, the which of the following are ture ?

A

range of `h (x) is {-1,0}`

B

If `h(x) =-1,` then x can be rational as well as irractional

C

If `h(x) =-1,` then x can be rational as well as irrational

D

`h (x)` is periodic function

Text Solution

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The correct Answer is:
A, C
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