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KVPY2020MathematicsLimits

Consider the following statements I. lim n → ∞ 2 n + ( - 2 ) n 2 n does not exist II. lim n → ∞ 3 n + ( - 3 ) n 4 n does not exist Then

Options

  1. AI is true and II is false
  2. BI is false and II is true
  3. CI and II are true
  4. Dneither Inor II is true

Correct answer

A. I is true and II is false

Step-by-step solution

I .   lim n → ∞ 2 n 2 n + - 2 2 n = lim n → ∞ 1 + ( - 1 ) n does not exist II. II . lim n → ∞ 3 4 n + - 3 4 n = 0 + 0 = 0

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