UP TGT Mathematics Real Analysis Test Series - Part 4
The sequence a_n = (-1)^n is:
Type: MCQ • Marks: 1
The sequence a_n = (-1)^n is:
Options
A. Divergent to +infinity
B. Divergent (Oscillates finitely)
C. Convergent to 0
D. Divergent to -infinity
Explanation
Correct Answer: Option 2 (Divergent (Oscillates finitely)). 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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