If f(x)=4[x]-3, where [x] is greatest integer function of x, then… - Vidyadip

Question

If $f(x)=4[x]-3$, where $[x]$ is greatest integer function of $x$, then find$\mathrm{f}(2 \pi)$, where $\pi=3.14$

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Answer

$ \text { (iv) } f(2 \pi)=4[2 \pi]-3$
$=4[6.28]-3 \ldots . .[\because \pi=3.14]$
$=4(6)-3 \ldots \ldots .[\because 6 \leq 6.28<7,[6.28]=6]$
$=21 $

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