Consider the following series. (-1)7+ 1 (lerror) 0, and then you need to verify the two conditions: (i) b , E b for all n(ii) lim b = 0 When both conditions are satisfied, the alternating series is convergent; otherwise, the Alternating Series Test fails. To use the Alternating Series Estimation Theorem to estimate how many terms are needed to allow an error less then &, you need to find the smallest integer n such that b in+1_ CE. Need Help? Read It Watch It