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JEE Main2003MathematicsLimitsActual

_ n 1+2^4+3^4+ n^4 n^5 - _ n 1+2^3+3^3+ n^3 n^5

Options

  1. A1 5
  2. B1 30
  3. CZero
  4. D1 4

Correct answer

A. 1 5

Step-by-step solution

Lim _ n ( 1 n )^4+ ( 2 n )^4+ ( 3 n )^4+ . ( n n )^4 - Lim _ n 1 n 1 n^4 + 2^3 n^4 + . n^3 n^4 ₀^1(x)^4 d x-0= [ x^5 5 ]₀^1= 1 5

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