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AP EAMCET202017 Sep 2020Evening ShiftMathematicsLimitsActual

If ( _ x (1+ p x )^ q x =e^9 ) where (p, q N ) then (p+q= )

Options

  1. A6
  2. B9
  3. C81
  4. D18

Correct answer

A. 6

Step-by-step solution

Given, ( _ x (1+ p x )^ q x =e^9 ), Let ( 1 x =y ) When (x y 0 ) ( _ y 0 (1+p y)^ q / y =e^9 ) ( _ y 0 (1+p y)^ 1 / y ^q=e^9 ) ( (e^p )^q=e^9 p q=9 ) Let we take (p=3 q=3 ) and ( p+q=6 )

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