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

If limx→∞11x3-3x+413x3-5x2-7=ab then the value of a+b equals
  1. 11
  2. 13
  3. 8
  4. 24

Solution

limx→∞11x3-3x+413x3-5x2-7

limx→∞x311-3x2+4x3x313-5x-7x3

limx→∞11-3x2+4x313-5x-7x3

x→∞⇒1x→0

⇒11-0+013-0-0=1113

a=11,b=13

a+b=24.

Asked in: AP EAMCET 2021 (20 Aug Shift 2)

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