If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than 0.000005. (If the quantity diverges, enter DIVERGES.) 6 Incorrect: Your answer is incorrect. terms Need Help? Read It Watch It

Number of terms required is 5 terms

Step-by-step explanation:

Given the series:

Given the series is an alternating series,

Evaluating the limit:

Since for all n = the series is convergent

The error of an alternating series is bounded as

Given

By trial and error: the above equation is satisfied for

Since the given series starts at n = 0, the number of terms required is 5 terms

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3