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Material Type: Assignment; Class: Advanced Calculus II; Subject: Mathematics; University: University of San Diego; Term: Spring 2007;
Typology: Assignments
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( (^) r s
)n = 0
k=
ak(x − x 0 )k^ has radius of convergence R then so does
k=
ak k + 1
(x − x 0 )k+1^ and
∑^ ∞
k=
kak(x − x 0 )k−^1.
Hint: we showed that the later two series had radius of convergence at least R.
