Question

Period of $f\left(x\right)=x-[x+\lambda ]-\mu$ where, $\lambda ,\mu \in R$ and [.] denotes the G.I.F is

• A. $\lambda$
• B. $\mu$
• C. $|\lambda -\mu |$
• D. $1$

Answer 1

The correct option is D $1$

$f\left(x\right)=x-[x+\lambda ]-\mu =x+\lambda -[x+\lambda ]-(\lambda +\mu )=\{x+\lambda \}-(\lambda +\mu )$
$\therefore$ Period of f(x) =1