THEOREM 11.3.9 THE PINCHING THEOREM FOR SEQUENCES Suppose that for all n sufficiently large an≤ b ≤ Cn. If an L and C → L, then b → L.

Linear Algebra: A Modern Introduction
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Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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Explain the key points of 11.3.9

THEOREM 11.3.9 THE PINCHING THEOREM FOR SEQUENCES
Suppose that for all n sufficiently large
an≤ b ≤ Cn.
If an L and C → L, then b
→ L.
Transcribed Image Text:THEOREM 11.3.9 THE PINCHING THEOREM FOR SEQUENCES Suppose that for all n sufficiently large an≤ b ≤ Cn. If an L and C → L, then b → L.
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