Use the ratio test to find the radius of convergence of the power series R= (If the radius is infinite, enter Inf for R.) x + 4x² +9x³ + 16x4 + 25x5 +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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s1 and s2 solve both please

Use the ratio test to find the radius of convergence of the
R
(If the radius is infinite, enter Inf for R.)
=
power series
x + 4x² +9x³ + 16x4 + 25x5 +...
Transcribed Image Text:Use the ratio test to find the radius of convergence of the R (If the radius is infinite, enter Inf for R.) = power series x + 4x² +9x³ + 16x4 + 25x5 +...
Compute the convergence set for the following power series. Use interval notation for your answers.
88T8T8
n=1
n=1
n=17
x"
(n + 1)2”
(x - 1)"
n
(x – 1) n
n!
(x + 1)"
37
converges for
converges for
converges for
converges for
Transcribed Image Text:Compute the convergence set for the following power series. Use interval notation for your answers. 88T8T8 n=1 n=1 n=17 x" (n + 1)2” (x - 1)" n (x – 1) n n! (x + 1)" 37 converges for converges for converges for converges for
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