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Most Important Selected Qs for JEE AdvancedMathematicsLimits

Let L= _ n 1 n^3 _ k=1 ^n k^2 e^ k n , then find the value of e-L .

Correct answer

2

Step-by-step solution

aligned L & = _ n 1 n^3 _ k=1 ^n k^2 e^ k / n = _ n 1 n _ k=1 ^n ( k n )^2 e^ k / n = ₀^1 x^2 e^x d x L & = . (x^2-2 x+2 ) e^x |₀ ^1=e-2 e-L & =2 aligned

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