Find the radius and interval of convergence of the following power series: (c) En=1 (x+2)"27+1, (u), (-1)" (x + 1)" (a)/Ln=1 n2n n (d) En=1 n2 +1 2n (x+1)" n=1

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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18/ Find the radius and interval of convergence of the following power series:
/E=1" (x + 1)"
(-1)"
(a)/ Ln=1
(c) +2)*2"+1(n+1)"
n
n2n
n²x2n
(d) Ln=1 n²+1
2n
(x+1)"
Transcribed Image Text:18/ Find the radius and interval of convergence of the following power series: /E=1" (x + 1)" (-1)" (a)/ Ln=1 (c) +2)*2"+1(n+1)" n n2n n²x2n (d) Ln=1 n²+1 2n (x+1)"
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