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Most Important Selected Qs for JEE AdvancedMathematicsLimits

Let A= _ x 0 (1+ ( x)+ ( 2 x)+ + ( n x))^ 1 / n x , then find the value of A at n=11 .

Correct answer

6

Step-by-step solution

A= _ x 0 1 ⁻¹ n x (1+ ( x)+ ( 2 x)+ + ( n x)) aligned & = _ x 0 1 n x ( ( x)+ ( 2 x)+ + ( n x)) & = 1 n (1+2+3+ +n)= n+1 2 aligned Put n=11 A=6

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