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AP EAMCET201822 Apr 2018Morning ShiftMathematicsLimitsActual

_ n ( 1 +2 2 +3 3 + +n n n^ 5 2 )=

Options

  1. A1
  2. B5 2
  3. C0
  4. D2 5

Correct answer

D. 2 5

Step-by-step solution

We have, _ x [ 1 +2 2 +3 3 + +n n n^ 5 / 2 ] aligned & = _ x _ r=1 ^n ( r n )^ 3 / 2 1 n & = ₀^1 x^ 3 / 2 d x= [ x^ 5 / 2 5 / 2 ]₀^1= 2 5 aligned

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