Find the values of x for which the series converges. ∑ n = 1 ∞...

Cassius Delacruz

Cassius Delacruz

Answered

2022-12-05

Find the values of x for which the series converges.
n = 1 ( x + 9 ) n
Find the sum of the series for those values of x.

Answer & Explanation

dyrni0gm

dyrni0gm

Expert

2022-12-06Added 11 answers

n = 1 ( x + 9 ) n = n = 1 8 n a n = ( x + 9 ) n a n + 1 = ( x + 9 ) n + 1 lim n + | ( x + 9 ) n + 1 ( x + 9 ) n | < 1 | x + 9 | < 1 1 < x + 9 < 1 10 < x < 8 x ( 10 , 8 ) s u m = 1 1 γ = 1 1 ( x + 9 ) = 1 x + 8 1. ( 10 , 8 ) 2.   s u m = 1 x + 8

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