Use the alternating series estimation theorem to determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001.Summation from n equals 1 to infinity (negative 1 )Superscript n Baseline StartFraction 1 Over n cubed plus 4 EndFraction31 or more terms should be used to estimate the sum of the entire series with an error of less than 0.001.

n ≥ 5

Step-by-step explanation:

hence 5 or more terms should be used to estimate the sum of the entire series with an error of less than 0.001.

check the attachment for explanation .

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5