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AP EAMCET202018 Sep 2020Morning ShiftMathematicsLimitsActual

( _ x 0 (1+3 x)^ 2 x = )

Options

  1. A6
  2. B(e^6 )
  3. C(e⁻⁶ )
  4. D(e^ 1 6 )

Correct answer

B. (e^6 )

Step-by-step solution

( aligned Lim _ x 0 (1 & +3 x) 2 x = Lim _ x 0 ((1+3 x)^ 1 3 x )^6 =e^6 & Lim _ x 0 (1+a x)^ 1 a x =e,(a 0) aligned )

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