Find the period of $f(x) = \sin πx + \{x/3\}$, where {.} represents the fractional part.
Answer & explanation
Correct answer: option 1
$f(x) = \sin πx + \{x/3\}$, where {.} represents the fractional part
Period of sin $πx$ is $\frac{2π}{π}=2$
Period of $\{x/3\}$ is $\frac{1}{1/3}=3$
Therefore, period of f(x) is L.C.M. of (2, 3) = 6