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AP EAMCET2009MathematicsLimits

_ x ( x+5 x+2 )^ x+3 equals

Options

  1. Ae
  2. Be^2
  3. Ce^3
  4. De^5

Correct answer

C. e^3

Step-by-step solution

gathered _ x ( x+5 x+2 )^ x+3 = _ x (1+ 3 x+2 )^ x+3 = _ x [ (1+ 3 x+2 )^ x+2 3 ]^ 3(x+3) x+2 gathered =e^ _ x 3 ( 1+ 3 x 1+ 2 x ) =e^3

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