UP TGT Mathematics Real Analysis Test Series - Part 4
A sequence that tends to +infinity or -infinity as n -> infinity is called:
Type: MCQ • Marks: 1
A sequence that tends to +infinity or -infinity as n -> infinity is called:
Options
A. Bounded
B. Properly divergent
C. Cauchy
D. Oscillatory convergent
Explanation
Correct Answer: Option 2 (Properly divergent). 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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