3. Ση-1 -1/m By the e n2 series test:

Q: 3. n-3n+5 n7 Sn=1

A:

Q: (с) V21+3n An = (d) (2n – 1)! An (2n+1)! (е) V2, V2/2, 21

A:

Q: 51. аn 2" +3" %3D 4"

A: We have to find the limit of sequence

Q: What is an example of a sequence that converges to 5?

A: A sequence is convergent to a point "P" , if there is a point "P" which repeats infinitely many…

Q: sin(4n) Given the sequence an n? + 3

A:

Q: a1=1 , an+1=4-an , n is greater than or equal to 1 is the sequence convergent or divergent?  what if…

A: Given that a1=1 and an+1=4-an, n≥1 Write down the first few terms of the sequence: a1=1, Substitute…

Q: 2" b) a, c) a, n! а) а, — for n22 = arctan In n for n22 n+1

A: Given that: an=nn+1+nn-1  for n≥2. Let , take the term in 'x' and then we will find the integration.…

Q: п+5 (-1)". п а) An Ln(n³) b) an = (-1)". n3

A: EXERCISE 6. Determine if the sequence converges or diverges.Briefly justify

Q: 8. Determine whether the sequence a n3n converges or diverges.

A:

Q: What is a sequence that can be graphed that converges to 5?

A: Please find the answer in next step.

Q: Every bounded sequence converges. True or False?

A: False

Q: 2. Find an expression for a, and determine whether the sequence converges or diverges. 4 9 16 25 1,…

A: Given sequence  1 , 43 ,97, 1615, 2531, ......

Q: 3 n° Cos n+ 5n J

A:

Q: = (an−1+ an−2+ an-3), N = 30 20. [T] a₁ = 1, a2 = 2, a3 = 3 and for n ≥ 4, an =

A:

Q: 6n2. 1. { en 2. {(-1)" (п+1)!, 3n!

A:

Q: If a sequence is unbounded, then it diverges. True or False?

A:

Q: Exercises 10.1, Problem 95 in page 588 of the textbook: (In n)200 an

A: We will apply lim n->infinity ,if we get a real number, the sequence converges .

Q: Is the sequence an=n3/3n-1 convergent or divergent? explain.

A: The given sequence is: A sequence an is said to be convergent if, where "l" is a finite number.…

Q: List the first 5 terms of the following sequence and determine whether or not it 4n2-4 converges: an…

A: