. Let f(x) = 1— Зх 1 Find a power series representation for f(x) for all x E а. 3'3 1 1 b. By first differentiating the identity obtained in (a), use a suitable value of x E to find [the 3'3 sum of| (n + 1) Σ 3n n=0

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Chapter2: Second-order Linear Odes
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VII. Let f(x)
1— Зх
Find a power series representation for f(x) for all x E
а.
3' 3
1 1
b.
By first differentiating the identity obtained in (a), use a suitable value of x E
to find [the
sum of|
(n + 1)
3n
n=0
Transcribed Image Text:VII. Let f(x) 1— Зх Find a power series representation for f(x) for all x E а. 3' 3 1 1 b. By first differentiating the identity obtained in (a), use a suitable value of x E to find [the sum of| (n + 1) 3n n=0
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