Most Important Selected Qs for JEE AdvancedMathematicsLimits

The value of _ n _ r=n^2 ^ (n+1)^2 1 r is

Correct answer

Step-by-step solution

f(x)= 1 n^2 + 1 n^2+2 + .+ 1 n^2+2 n+1 Terms of the sequence are decreasing and number of terms are (2 n+2) 2 n+2 n^2+Z n+1 f(x) 2 n+2 n^2 Now _ n 2(n+1) n^2+2 n+1 = _ n 2 n (1+ 1 n ) n 1+ 2 n + 1 n^2 Similarly _ n 2(n+1) n^2 = _ n 2(n+1) n =2

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