Given the sequence an 3n² + 7 n² + 8

Q: the sequence is converge or diverge?    an+(-1)n+1 / 2n-1

A: Let an=12n-1           Then the given series is in the form ∑n=1∞-1n+1an           Since…

Q: determine the limit of the sequence or show that the sequence diverges.

A:

Q: 10. Let an be a sequence of reals, and be a real. Let bn = lan-ll. Show that an converges to & if…

A: Given a sequence of real numbers an and l is a real number, given bn=an-l.   If a sequence xn…

Q: Mark each statement as TRUE or FALSE. If lim a,=0, then an converges. n- 00 n=1 True False If an…

A: 1. From the theorem of converges, The series ∑n=1∞an is converges, as limn→∞an=0. Thus, the…

Q: mathmatics analysis   For a convergent real sequence sn and a real number a, show that if sn ≥ a…

A: This is a question of Real Analysis.

Q: Defermine if these sequences are convergent or divergent. If convergent, give the limit. 1 1 1 а.…

A:

Q: The limit of the sequence {an}{an}as nnapproaches infinity equals ll iff ∀ε>0 ∃ m ϵ N ∀?>0 ∃ ? ? ℕ…

A: Given that, The limit of the sequence {an} as n approaches infinity equals l. Definition of the…

Q: 3 n° Cos n+ 5n J

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: Given that:

Q: Every increasing monotonic and sequence is convergent

A: given the sequence is increasing monotonic

Q: Which of the following statements is true? O A monotonic convergent sequence is bounded. O A bounded…

A: Some statements are given, we have to find the true statement