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Determine if the following series is convergent or divergent: 7n IN 672 - 7 O Convergent O DivergentDetermine whether the following series is convergent or divergent. 1 + + ... 28/2 3 3 O The series is convergent. O The series is divergent.Consider the alternating series (-1) br with n=0 bn = 8 + 5723 (a) Is the sequence { on } increasing or decreasing? O Increasing (bn 1 - bn) O Decreasing (bn , 1 bn) (b) Determine the limit of the sequence { bn } as n - > oo. lim on (c) Using the Alternating Series Test, can you conclude that the series is convergent? Yes, it is convergent. The Alternating Series Test cannot be applied here.Consider the series ne -n2 iM8 If we let f (x) - re -24 ", then J f (x) dx O is finite. O is not finite. O cannot be evaluated. Based on the evaluation above, what can you deduce about the series ne -n2 O The series is convergent. O The series is divergent. The integral could not be evaluated.Consider the series 6 IM 1 + 8n If we let f (x) = 6 148 x then J f (x) dx O O is finite. O is not finite. O cannot be evaluated. Based on this result, what can you deduce about the series 6 ? n- 0 1 + 8n n . O The series is convergent. The series is divergent. O The integral could not be evaluated.COS (NTT) Compute the first five terms in the sequence {an } = . (Give exact values.) n! n=1 an - a3 = an - M a5 = COS (NTT) Approximate the sum of the series iM8 with a precision of +0.01. n! COS (NTT) Number 40.01. n! n=