Find the radius of convergence R of the power series, and determine whether the power series converges at x=+R. (However, enter CON if the power series converges and DIV if it diverges.) ∞ Σ(-1). n=1 = R n=3 = R xn 4″ × (√ñ)6 R = (2) xn n(ln n) ¹.5 R = (5) (1) * x = -R (4) x = -R (3) (6)

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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Find the radius of convergence R of the power series, and
12 determine whether the power series converges at x=±R.
:
(However, enter CON if the power series converges and DIV if it
diverges.)
(1) Σ(-1)".
n=1
(2)
∞
x = R
:
xn
4″ × (√ñ)6
x = R
R:
=
(2)
∞
S
xn
n=3 n(ln n) 1.5
R
=
(5)
(1)
x = -R
(4)
x = -R
(3)
(6)
Transcribed Image Text:Find the radius of convergence R of the power series, and 12 determine whether the power series converges at x=±R. : (However, enter CON if the power series converges and DIV if it diverges.) (1) Σ(-1)". n=1 (2) ∞ x = R : xn 4″ × (√ñ)6 x = R R: = (2) ∞ S xn n=3 n(ln n) 1.5 R = (5) (1) x = -R (4) x = -R (3) (6)
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