Theorem 7-6. If the variables are uniformly bounded then the condition, lim Bn = 0, n- 00 n2 is necessary as well as sufficient for WLLN to hold.

Linear Algebra: A Modern Introduction
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Prove the theorem

Theorem 7-6. If the variables are uniformly bounded then the condition,
lim Bn
n→0 n2
= 0,
is necessary as well as sufficient for WLLN to hold.
Transcribed Image Text:Theorem 7-6. If the variables are uniformly bounded then the condition, lim Bn n→0 n2 = 0, is necessary as well as sufficient for WLLN to hold.
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