1. [-/1 Points] DETAILS 0/100 Submissions Used For the series a with terms a shown below, determine the limit lim a (enter DNE if the limit does not exist). Then use the result to make a conclusion about the series n= 1 n n+ 4 lim an 7 -+ 00 O The Divergence Test applies and so the series diverges. O The Divergence Test does not apply.2. [-/1 Points] DETAILS 0/100 Submissions Used For the series with terms a shown below, determine the limit lim a (enter DNE if the limit does not exist). Then use the result to make a conclusion about the series. n=1 n V 3n2 + 2n + 1 lima n - 00 O The Divergence Test applies and so the series diverges. O The Divergence Test does not apply.3. [-/1 Points] DETAILS 0/100 Submissions Used For the series with terms a shown below, determine the limit lim a (enter DNE if the limit does not exist). Then use the result to make a conclusion about the series. 1 +00 n=1 907 lim an 7 - 00 O The Divergence Test applies and so the series diverges. O The Divergence Test does not apply.4. [!1 Points] DETAILS 03100 Submissions Used ix: For the series E :a with terms an shown below, determine the limit lim 3" (enter DNE if the limit does not exist). Then use the result to make a conclusion about the series. fl H )CO 11:]. _ B}rn a" e Iim a = nuaa '1 O The Divergence Test applies and so the series diverges. O The Divergence Test does not apply. 5. [-/1 Points] DETAILS 0/100 Submissions Used For the series a with terms a shown below, determine the limit lim a (enter DNE if the limit does not exist). Then use the result to make a conclusion about the series n=1 = (In(n)) 2 Vn lim am 7 -+00 O The Divergence Test applies and so the series diverges. O The Divergence Test does not apply.1. [-/1.6 Points] DETAILS OSCALC1 9.3.158-164A.WA.TUT. Use the Integral Test to determine whether the infinite series is convergent E 3n n = 1 (n2 + 1) 3/5 3x dx = /1 (x2 + 1)3/5 O The series converges. O The series diverges.2. [-/1.6 Points] DETAILS OSCALC1 9.3.158-164B.WA.TUT. 6 Determine whether the series e converges or diverges. 2 7= 1 O The series converges. O The series diverges.3. [-/1.6 Points] DETAILS Use the Integral Test to determine whether the series E 5 converges or diverges. n = 2 n(In n) 2 O The series diverges. O The series converges.4. [-/1.6 Points] DETAILS OSCALC1 9.3.158. Use the Integral Test to determine whether the sum converges. n+ 4 7 = 1 Evaluate the following integral. dx *+ 4 Since the integral -Select- finite, -Select-5. [-/1.6 Points] DETAILS OSCALC1 9.3.161. Use the Integral Test to determine whether the sum converges. n 49 + m 2 Evaluate the following integral. X OX 49 + x2 Since the integral --Select- finite, SelectTutorial Exercise 00 Determine whether the series 11 converges or diverges. n= 1 Step 1 of 2 Recall that a p-series is any series of the form 1. Further, a p-series converges if p ? | 1 and diverges if p ? v 1. n=1 Determine if the given series is a p-series. Since ny n = n , the given series can be written as the following. 00 11 1 EnVA = 113 7=1 n=1 0 Thus, the given series ---Select-- v| a constant multiple of a p-series with p = Submit Skip (you cannot come back)\f8. [-/0.5 Points] DETAILS OSCALC1 9.3.154. State whether the given p-series converges. 3 2 7=1 O converges O diverges