If a α is the greatest term in the sequence α n =(n³)/(n⁴+147), n=1,2,3,, then α is equal to _ _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 8 Apr, Morning shift · Q24

JEE Main 20238 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

a_{\alpha}

is the greatest term in the sequence

\alpha_{n}=\frac{n^{3}}{n^{4}+147}, n=1,2,3, \ldots

, then

\alpha

is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.