Let f(x) = x - [x] R, then f (1 2 ) is: - Vidyadip

MCQ

Let $f(x) = x - [x] \in R,$ then $\text{f}\Big(\frac{1}{2}\Big)$ is:

A
$ \frac{3}{2}$
✓
$1$
C
$0$
D
$-1$

✓

Answer

Correct option: B.

$1$

Given,
$f(x) = x - [x]$
$f(x) = 1 - 0 \{[x] =$ integer less than or equal to $x\}$
$\text{f}\Big(\frac{1}{2}\Big)=1$

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