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AP EAMCET2006MathematicsLimits

If 0 < p < q , then _ n (q^n+p^n )^ 1 / n is equal to :

Options

  1. Ae
  2. Bp
  3. Cq
  4. D0

Correct answer

C. q

Step-by-step solution

_ n (q^n+p^n )^ 1 / n =q _ n [1+ ( p q )^n ]^ 1 / n = _ n q [ 1+ ( p q )^n ^ (q / p)^n ]^ 1 / n ( p q )^n =q e^0 [ ( p q )^n 0 . as .n ]=q

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