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.

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: