1).   Iff(x) =  ∞     n = 0 xn n!and g(x) =  ∞     n = 0(−1)n xn n!, find the power series of 1 2(f(x) + g(x))

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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1).   Iff(x) = 

 
 
n = 0
xn
n!
and
g(x) = 
 
 
n = 0
(−1)n
xn
n!
,
find the power series of
1
2
(f(x) + g(x))
and of
1
2
(f(x) − g(x)).
1
2
(f(x) + g(x))
=
 
 
n = 0
 
 
 
 
1
2
(f(x) − g(x))
=
 
 
n = 0
 
 
 
 

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