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(Solved): Given the series \sum_(k=1)^(\infty ) (81)/((-3)^(k)), find S_(4) (the sum of the first 4 terms) and ...



Given the series

\sum_(k=1)^(\infty ) (81)/((-3)^(k))

, find

S_(4)

(the sum of the first 4 terms) and then give an upper bound for the "remainder" or error between

S_(4)

and S , the sum of the infinite series. ( 5 pts) BONUS ( 2 pts): Calculate the exact error

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