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Find the range of f(x) =(sinx)/(x)+(x)/(...

Find the range of f(x) =`(sinx)/(x)+(x)/(tanx) in (0,(pi)/(2))`

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Verified by Experts

The correct Answer is:
`((2)/(pi),2)`
It can be proved that both the functions `(sinx)/(x) and (x)/(tx)` are decreassing in `(0,(pi)/(2))`
`therefor` e Range of the function is `(underset(xrarrpi//2)limf(x),underset(xrarr0)limf(x))=((2)/(pi),2)`
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