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Most Important Selected Qs for JEE AdvancedMathematicsLimits

Let f(n)= (n^2-1 )- (n^2+2 n ), n N, n 2 . If L= _ m (e^ ^ e^m / 2 /(n) -1 ) m^ exists and has non-zero finite value, then find the value of ( +L) .

Correct answer

5

Step-by-step solution

aligned _ n=2 ^m f(n) & = ( 3 m^2+2 m ) e^ _ n=2 ^m f(n) & = 3 m^2+2 m L & = _ m (e^ 3 m^2+2 m -1 ) m^ = _ m 3 m^ m^2+2 m =2 and L=3 +L & =5 aligned

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