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UP TGT Mathematics Real Analysis Test Series - Part 5

The sequence a_n = 1/n is:

Type: MCQ • Marks: 1
The sequence a_n = 1/n is:
Options
A. Monotonically decreasing and bounded below by 0
B. Oscillating
C. Monotonically increasing
D. Unbounded
Explanation
Correct Answer: Option 1 (Monotonically decreasing and bounded below by 0). Monotone Convergence Theorem states that every monotonic bounded sequence converges. Increasing bounded above -> Supremum; Decreasing bounded below -> Infimum.
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