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Q: प्रत्येक प्रतिबद्ध अनुक्रम में है– Every bounded sequence has–
  • A. एक अपसारी उप-अनुक्रम (A divergent subsequence)
  • B. एक अभिसारी उप अनुक्रम (A divergent subsequence)
  • C. एक अपसारी अनुक्रम (A divergent sequence)
  • D. इनमें से कोई नहीं(None of these)
Correct Answer: Option B - Every bounded sequence has a convergent subsequences. This is the statement of Bolzano-Weierstrass theorem.
B. Every bounded sequence has a convergent subsequences. This is the statement of Bolzano-Weierstrass theorem.

Explanations:

Every bounded sequence has a convergent subsequences. This is the statement of Bolzano-Weierstrass theorem.