Enough?

Geometry Level 3

Find the maximum value of ( sin ⁡ x ) x \left(\sin{x} \right)^x in the interval ( 0 , 9 π 2 ) \left( 0,\dfrac{9\pi}{2}\right) .

1 1 0.5 0.5 3 2 \dfrac{\sqrt3}{2} The maximum value does not exist

Sabhrant Sachan by Sabhrant Sachan , 21, India

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1 solution

Observe that 1 is achievable. Hence the minimum possible value of the maximum value is 1. Hence, 1 is the answer.

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