Can someone please tell me why my answer is wrong??!! I did the solution for the number of term is 8. But the answer is wrong. What is the correct answer for this question? This is Alternating Series Test.

4 Determine how many terms of the hollowing Convergent series must be summed to be sure that the remainder is less than 10- in magnitude. S ( - 1) K K=0 K !Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10- in magnitude. ( - 1 ) k K! K=0 ... . . The number of terms that must be summed is (Simplify your answer.)