If b is very small as compared to the value of a, so that the cube and other higher powers of b/a can be neglected in the identity 1/(a - b) + 1/(a - 2b) + 1/(a - 3b) +..... + 1/(a - nb) = α n + β n² + γ n³, then the value of γ is:

Binomial Theorem and Its Simple Applications: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Jul, Morning shift · Q2963

JEE Main 202125 Jul, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If b is very small as compared to the value of a, so that the cube and other higher powers of

{b \over a}

can be neglected in the identity

{1 \over {a - b}} + {1 \over {a - 2b}} + {1 \over {a - 3b}} + ..... + {1 \over {a - nb}} = \alpha n + \beta {n^2} + \gamma {n^3}

, then the value of

\gamma

is :