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If[.] and {.} denote greatest integer a...

If[.] and {.} denote greatest integer and fractional part functions respectively, then the period of `f(x) = e^(sin 3pi{x} + tan pi [x])` is

A

`2//3`

B

`1`

C

`3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
`f(x) = e^(sin 3 pi {x} + tan pi{x} = e^(sin 3 pi {x}))" "[because tan pi[x] = 0]`
Since {x} is a periodic with period 1.
Therefore f(x) is peridic with period 1.
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