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4. Suppse that > ax is a convergent series with known sum L. Let S. = ) ax be the ath partial sum for this

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4. Suppse that > ax is a convergent series with known sum L. Let S. = ) ax be the ath partial sum for this series. (a) Find lim Sn- n-+60 (b) Find lim an- (c) Find lim (d) Find lim (e) Find lim . (f) Find lim (an)'5.Determine whether the following series converge absolutely, converge conditionally, or diverge. (@) 2- (-1)* * V2k3 + 3k + 4 (b) (-1) (1+2)"6.Determine whether the following series converge absolutely, converge conditionally, or diverge. (-2) ( 3 ) 2 7 k + 1 ) ! (b) _(-1)* ( VE +2 - VE)

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