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pbrown7916
Group Title
Sum of 2 power series:
Given: f(x)=\sum_{n=3}^{\infty}\frac{ 2^{n} }{ n! }\left( x1 \right)^{n2} and g(x)=\sum_{n=1}^{\infty}\frac{ n ^{2} }{ 2^{n} }\left( x1 \right)^{n1}
Find: f(x)+g(x)=\sum_{n=0}^{\infty}a _{n}\left( x1 \right)^{n}
 2 years ago
 2 years ago
pbrown7916 Group Title
Sum of 2 power series: Given: f(x)=\sum_{n=3}^{\infty}\frac{ 2^{n} }{ n! }\left( x1 \right)^{n2} and g(x)=\sum_{n=1}^{\infty}\frac{ n ^{2} }{ 2^{n} }\left( x1 \right)^{n1} Find: f(x)+g(x)=\sum_{n=0}^{\infty}a _{n}\left( x1 \right)^{n}
 2 years ago
 2 years ago

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Skaematik Group TitleBest ResponseYou've already chosen the best response.0
What is (asubn)x^n ?
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
any constant
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
haven't mastered entering equations here yet haha
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
\[a_{n}\]
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
so \[f(x)=\sum_{n=3}^{\infty}\frac{ 2^{n} }{ n! }\left( x1 \right)^{n2}\] and \[g(x)=\sum_{n=1}^{\infty}\frac{ n ^{2} }{ 2^{n} }\left( x1 \right)^{n1}\]
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
and I need to find\[f(x)+g(x)=\sum_{n=0}^{\infty}a _{n}\left( x1 \right)^{n}\]
 2 years ago

Skaematik Group TitleBest ResponseYou've already chosen the best response.0
Sorry not sure try physicsforums.com
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
ok thanks skaematik
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
This UI is rather annoying, sorry for the way my question is stated above.
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
\[\sum_{n=1}^{\infty}\frac{ 2^{n+1} }{ (n+1)! }\left( x1 \right)^{n}+\sum_{n=0}^{\infty}\frac{(n+1)^{2} }{ 2^{n+1} }\left( x1 \right)^{n}\]
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
cinar, I thought something similar, but I have to force the solution to have the lower limit n=0
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
\[1+\sum_{n=0}^{\infty}\frac{ 2^{n+1} }{ (n+1)! }\frac{(n+1)^{2} }{ 2^{n+1} }(x1)^n\]
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
\[1+\sum_{n=0}^{\infty}a_n(x1)^n\]
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
this should be 2 sorry \[2+\sum_{n=0}^{\infty}\frac{ 2^{n+1} }{ (n+1)! }\frac{(n+1)^{2} }{ 2^{n+1} }(x1)^n\]
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
but it is not what you looking for right..
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
thanks for your replies cinar, i appreciate the help. i suppose my real problem at this point is understanding how the solution from the book was reached...i'm trying to upload it now
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
\[2+\sum_{n=0}^{\infty}\frac{ 2^{n+1} }{ (n+1)! }+\frac{(n+1)^{2} }{ 2^{n+1} }(x1)^n\]
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
here's what they got:
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
glad to hear that..
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
yeah I see now where I made a mistake..
 2 years ago

pbrown7916 Group TitleBest ResponseYou've already chosen the best response.0
oh? btw i'm looking at your problem...no ideas for it yet tho
 2 years ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
I though it should be related integration by part somehow but no clue yet..
 2 years ago
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