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BITSAT2016MathematicsLimitsActual

_ n a^ n +b^ n a^ n -b^ n , where a>b>1, is equal to

Options

  1. A-1
  2. B1
  3. C0
  4. DNone

Correct answer

B. 1

Step-by-step solution

limit = _ n 1+ ( b a )^ n 1- ( b a )^ n =1, because 0< b a <1 implies ( b a )^ n 0 as n

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