NDA 2017 Mathematics question

MathematicsLimitNDA 2017

Consider the following statements : 1. If and both exist, then exists. 2. If exists, then both and must exist. Which of the above statements is/are correct?

Answer: (A)

Solution

Statement 1 is the product rule for limits: the limit of the product equals the product of the limits. Statement 2 is false: e.g.

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Question ID VK-028664