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NTA Abhyas JEE Main2020MathematicsLimitsPractice

The value of lim n → ∞ ⁡ 3.2 n + 1 - 4.5 n + 1 5.2 n + 7.5 n is equal to

Options

  1. A3 5
  2. B- 4 7
  3. C- 20 7
  4. D0

Correct answer

C. - 20 7

Step-by-step solution

lim n → ∞ ⁡ 3.2 n + 1 - 4.5 n + 1 5.2 n + 7.5 n = l i m n → ∞ 5 n 6 . 2 5 n - 20 5 n 5 . 2 5 n + 7 = - 20 7 ∵ lim n → ∞ ⁡ 2 5 n = 0

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