The series ∑Cn(x+9)^n converges at x=−4 and diverges at x=−17.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The series ∑Cn(x+9)^n converges at x=−4 and diverges at x=−17.

Based on this information we know something about how big and small the radius of convergence R of the power series can be. Between what two values must R
lie?
RE
(Give the possible values as an interval: thus, if R can be greater than or equal to 3 but must be less than 8, enter [3,8). If there is no upper or lower bound for R,
give the value as Inf or -Inf.)
Transcribed Image Text:Based on this information we know something about how big and small the radius of convergence R of the power series can be. Between what two values must R lie? RE (Give the possible values as an interval: thus, if R can be greater than or equal to 3 but must be less than 8, enter [3,8). If there is no upper or lower bound for R, give the value as Inf or -Inf.)
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