The correct option is A 3π2 f(x)=|x+sin x| x=π2 |π2+sinπ2| π2+1 3π2 ...

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Allied Angles

fx=|x+sin x| ...

Question

$f (x) = | x + sin x |$ at $x = \frac{π}{2}$

\frac{3 π}{2}

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\frac{π}{2}

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\frac{5 π}{2}

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π

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Solution

The correct option is A $\frac{3 π}{2}$
$f (x) = | x + sin x | x = \frac{π}{2} ∣ ∣ ∣ \frac{π}{2} + sin \frac{π}{2} ∣ ∣ ∣ \frac{π}{2} + 1 \frac{3 π}{2}$

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