Question
Asked Sep 13, 2019

specify the convergence interval! 

(D"XD
n
1
b.
NO
2Dn2
na1
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(D"XD n 1 b. NO 2Dn2 na1

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Hi there!! This is a Maths question which is asked in Physics. I will be answering this question for now but from next time please make sure that you choose the correct subject while post...

(-1)"
Here, the center of convergence, c = 0, and a,
п(n +1)
(-1)*
(п+1)(п+ 2)
n+1
So, a
Therefore, L-lim
а,
n+1
п—0
и
n+1
(-1)*
=limn1)(n+2)
(-)"
п—00
п(n +1)
lim
(n 2)
L 1
Thus, the radius of convergence , R
1
L
Hence, we know the range of convergence is [c- R, c+R]
i.e. [0-,0+1
The range of convergence is [-1,1]
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(-1)" Here, the center of convergence, c = 0, and a, п(n +1) (-1)* (п+1)(п+ 2) n+1 So, a Therefore, L-lim а, n+1 п—0 и n+1 (-1)* =limn1)(n+2) (-)" п—00 п(n +1) lim (n 2) L 1 Thus, the radius of convergence , R 1 L Hence, we know the range of convergence is [c- R, c+R] i.e. [0-,0+1 The range of convergence is [-1,1]

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