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Find the range of f(x)=cos((log)e{x})dot...

Find the range of `f(x)=cos((log)_e{x})dot`

Text Solution

Verified by Experts

The correct Answer is:
`[-1,1]`
`f(x)=cos(log_(e){x}).`
For the given function to define,
`0 lt {x} lt 1`
or `-oo lt log_(e){x} lt 0`
For these values of `theta=(log_(e){x}, cos theta` takes its all possible values.
Hence, the range is `[-1,1].`
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