If sequences {an} and {b} both diverges to infinity, then the sequence an {a}} bn is convergent.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If sequences {an} and {bn} both
diverges to infinity, then the
sequence
An
{ant}
bn
is convergent.
Transcribed Image Text:If sequences {an} and {bn} both diverges to infinity, then the sequence An {ant} bn is convergent.
If the radius of convergence of the
Ë
n=1
of convergence of the series
n
series unx is R then the radius
Σ una2n is R2.
x ²n
Un
n=1
Transcribed Image Text:If the radius of convergence of the Ë n=1 of convergence of the series n series unx is R then the radius Σ una2n is R2. x ²n Un n=1
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