GATE CS 2015 Set 3 — Question 64
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Question
Let and , where is a positive integer. Which of the following statements is/are correct?I.
II.
II.
Correct answer
(D) Neither I nor II
Solution
The function oscillates between -1 and 1.Check I:
This requires for large .
When , . The condition becomes , which is false for large .Check II:
This requires for large .
When , . The condition becomes , which implies , false for large .Thus, neither statement is true.
This requires for large .
When , . The condition becomes , which is false for large .Check II:
This requires for large .
When , . The condition becomes , which implies , false for large .Thus, neither statement is true.
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