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AP EAMCET202119 Aug 2021Morning ShiftMathematicsLimitsActual

lim z → 1   z ( 1 / 3 ) − 1 z ( 1 / 6 ) − 1 =

Options

  1. A- 1
  2. B1
  3. C2
  4. D- 2

Correct answer

C. 2

Step-by-step solution

lim z → 1   z ( 1 / 3 ) − 1 z ( 1 / 6 ) − 1 We know that lim x → a   x m − a m x n − a n = m n a m - n lim z → 1   z 1 3 − 1 1 3 z 1 6 − 1 1 6 Here m   =   1 3 ,   n   =   1 6   &   a = 1 = 1 3 1 6 1 = 2 .

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