Find the Maclaurin series for (x) using the definition of a Maclaurin series. [Assume that / has a power series expansion.] S(2) = sin () 2n+1 (-1)" (2n + 1)! 32n+1 (2n + 1)!32n41 (-1)*+1 (2n + 1) (3e)2n n+1 2n+1 E-1)" (2n +1)!32n+1 Find the associated radius of convergence, R. R = 00 Can you explain me how can I get the radius of convergence please? Wi WI WI WI WI

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Find the Maclaurin series for (x) using the definition of a Maclaurin series. (Assume that / has a power series expansion.]
S(2) = sin ()
2n+1
(-1)"
(2n + 1)132m+1
(-1)+1_dn+1 2n41
(2n + 1)!32n41
(-1)*+1
(2n + 1) (32)an
n-0
n+1 2n+1
C-1)"
(2n +1)!32n+1
lo 0
Find the associated radius of convergence, R.
R= 00
Can you explain me how can I get the radius of
convergence please?
Transcribed Image Text:Find the Maclaurin series for (x) using the definition of a Maclaurin series. (Assume that / has a power series expansion.] S(2) = sin () 2n+1 (-1)" (2n + 1)132m+1 (-1)+1_dn+1 2n41 (2n + 1)!32n41 (-1)*+1 (2n + 1) (32)an n-0 n+1 2n+1 C-1)" (2n +1)!32n+1 lo 0 Find the associated radius of convergence, R. R= 00 Can you explain me how can I get the radius of convergence please?
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