Question: ( b ) Let f ( x ) = n = 0 ( - 1 ) n 4 ( n + 1 ) ( x

(b) Let
f(x)=n=0(-1)n4(n+1)(x+1)n
i. Find the radius of convergence of the power series.
ii. Does it converge for x=4? Give a reason!
iii. Calculate f(-1) and f(0).
( b ) Let f ( x ) = n = 0 ( - 1 ) n 4 ( n + 1 ) (

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