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AP EAMCET202120 Aug 2021Evening ShiftMathematicsLimitsActual

If lim x → ∞ 11 x 3 - 3 x + 4 13 x 3 - 5 x 2 - 7 = a b then the value of a + b equals

Options

  1. A11
  2. B13
  3. C8
  4. D24

Correct answer

D. 24

Step-by-step solution

lim x → ∞ 11 x 3 - 3 x + 4 13 x 3 - 5 x 2 - 7 lim x → ∞ x 3 11 - 3 x 2 + 4 x 3 x 3 13 - 5 x - 7 x 3 lim x → ∞ 11 - 3 x 2 + 4 x 3 13 - 5 x - 7 x 3 x → ∞ ⇒ 1 x → 0 ⇒ 11 - 0 + 0 13 - 0 - 0 = 11 13 a = 11 , b = 13 a + b = 24 .

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