Check all of the following that are true for the series ∑n=1∞(−2)n(n! ) a. this series converges b. this series diverges c. the integral test can be used to determine convergence of this series. d. the comparison test can be used to determine convergence of this series. e. the limit comparison test can be used to determine convergence of this series. f. the ratio test can be used to determine convergence of this series. g. the alternating series test can be used to determine convergence of this series. note: you can earn partial credit on this prob

I assume the series is

By the ratio test, the series converges because

so A and F are true.

The integral test cannot be used because the summand is not monotonic (decreasing).

The comparison tests cannot be used because the series is alternating; these tests require the summand be non-negative.

The alternating series test can be used because

and . For large enough , we have , and . Then by the alternating series test, the series converges. So G is also true.

my answer is$ 12

step-by-step explanation:

because 15 -2=12

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.