1. Determine the convergence/divergence properties (absolute? conditional? uniform? range/radius of convergence?-as appropriate) for the following series: α. Σ (-3)k k=0 w /1.1

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Determine the convergence/divergence properties (absolute? conditional? uniform? range/radius
of convergence?-as appropriate) for the following series:
(-3)k
a. Σk=0 k! √k+1*
(-x)k
b. k=0 k! √k+1²
c.
with x = [a, b], to be determined.
xk
01, with x € [a, b], to be determined.
1+x²ks
Transcribed Image Text:1. Determine the convergence/divergence properties (absolute? conditional? uniform? range/radius of convergence?-as appropriate) for the following series: (-3)k a. Σk=0 k! √k+1* (-x)k b. k=0 k! √k+1² c. with x = [a, b], to be determined. xk 01, with x € [a, b], to be determined. 1+x²ks
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