Mathematics

If $$P=\displaystyle \lim _{ n\rightarrow \infty  }{ \frac { { \left( \prod _{ r=1 }^{ n }{ \left( { n }^{ 3 }+{ r }^{ 3 } \right)  }  \right)  }^{ 1/n } }{ { n }^{ 3 } }  }$$  and $$\lambda =\displaystyle \int _{ 0 }^{ 1 }{ \frac { dx }{ 1+{ x }^{ 3 } }  } $$ then $$In P$$ is equal to


ANSWER

$$In 2-1+\lambda$$


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Single Correct Medium Published on 17th 09, 2020
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