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Let [x] denotes the greatest integer les...

Let `[x]` denotes the greatest integer less than or equal to `x` . If the function `f(x)="tan"(sqrt([n])x)` has period `pi/3dot` then find the value of `ndot`

Text Solution

Verified by Experts

The correct Answer is:
[9, 10)
Clearly, `f(x) =tan(sqrt([n])x)` has period `(pi)/(sqrt([n])).`
But it is given that `tan(sqrt([n])x)` has period `(pi)/(3)`. Therefore,
`(pi)/(sqrt([n]))=(pi)/(3)`
or `[n] =9 " or " n in [9,10).`
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