(2) Σ3 n=1 (b) Σ n=1 (0) Σ n=1 (e) (−1)n-¹ n (n + 2)3 n-1 n-1 η2 + 2n en n!√n (1) Σ n=1 f In(n)

Q: IM8 Show that for any p-series KP k=1 provides no information about whether the series(+ converges…

A: Where: If r < 1, then the series is convergent. A converging series means that the infinite…

Q: 84 K=1 √k ²² +16 1. Does the series Elak converge? (Circle one) • Yes / No 2. which test determines…

A:

Q: а) x(0)--1,х' (0)-8 b) × () = },x (?) = o

A: x(t) = c1cost + c2sint . x '(t) = - c1sint + c2cost . x(0) = c1 = -1 . x '(0) = c2 = 8 . Thus, the…

Q: Prove that the Sum of Convergent. Series is ungue

A: prove that sum of convergent series is unique.

Q: 1 is convergent, and find its sum. Show that the series n(n + 1) n=1

A: we have to show that the given series is convergent and then we have to find the sum. ∑n=1∞1n(n+1)

Q: determine whetheer the fene Conditionally (Convergent,abtolutely onvergent or dirergent a . n= 5…

A: We have to find whether the sequence is convergent or divergent and to know whether it is absolutely…

Q: Let > an be an infinite series. Choose the correct statements below. O If >, am converges, then >,…

A: The objective is to choose the correct statements.

Q: Show that X is complete if and only if every absolutely convergent series in X converges.

A: To Show : X is complete if and only if every absolute convergent series in X converges.

Q: 00 n 2 Does the seriesE (- 1)"n²| | converge absolutely, converge conditionally, or diverge? 3 n= 1…

A: Consider the series ∑n=1∞−1nn223n We have to check whether the given series is converges absolutely,…

Q: The sequence {G 3n+2 n=1 O None converges to e O diverges converges to Ve? converges to e3

A:

Q: If the n-th partial sum of a series (n=1 to infinity) an is sn =(3n + 5)/(2n − 1) find the…

A:

Q: 2.Determine whether the following sign series is divergent or absolute convergence or conditionally…

A: The given series is  ∑n=1∞ -1n+12n-13n+4