UP TGT Mathematics Real Analysis Test Series - Part 4
If |a_n| -> 0 as n -> infinity, then the sequence (a_n):
Type: MCQ • Marks: 1
If |a_n| -> 0 as n -> infinity, then the sequence (a_n):
Options
A. Converges to 0
B. Diverges
C. Oscillates
D. Tends to 1
Explanation
Correct Answer: Option 1 (Converges to 0). A sequence converges if it approaches a unique finite limit L. Otherwise, it diverges (tends to infinity or oscillates). Every subsequence of a convergent sequence converges to the same limit.
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