+00 (2n)! E(-1)"- 2" n=1 O divergent O convergent

Q: Do the following sequences {a} converge or diverge? Justify your answers (a) an 3" (b) an - (-1)"/ñ…

A: Explanation of the answer is as follows

Q: +00 1 9n? – 18n + 8 n=1

A:

Q: 8WI (-1) 3n+6 O Absolutely Convergent O Conditionally Convergent O Divergent

A: The given series .To determine the series absolutely convergent, conditionally convergent, or…

Q: * 8 1-U 1=M 3 n = 2 (7) e n n³+1 = 20 Convergent / Divergent ? Conu. / Div. ?

A:

Q: xp Vx(x + 5) converges O diverges

A: CONVERGES

Q: Suppose that an(x – 6)" converges for x = 10. At which of the points (a)-(d) must it also converge?…

A: Given: The given series is ∑an(x-6)n  The series converges at x=10. According to theorem is the…

Q: Determine of each point convergens or diverges: (-2)"(x-3)" (3) √(n+1) M=O

A:

Q: En-o(1 +)" CO 5n ii) 2n-0 100 (Зп)!

A:

Q: +00 (-1)" n! n=1 O convergent O divergent

A:

Q: 2. Which of the following products are absolute convergent? Determine the corresponding values when…

A: To determine if the given infinite products are absolutely convergent, we need to analyze the…

Q: how that the sequence (1 – (-1)" +1/n) is divergen

A:

Q: Q(3) The sequence 4n3 3n7 + n3 2n7 (a) Converges to (b) Diverges (c) Converges to

A:

Q: lim (n22n) / n! = ?

A:

Q: Show Recurrence that the solution to T (n) = T (2n/3) + 1 is Θ( log2 n)

A:

Q: (-1)1 an= 20-1 Converae bierge?

A: Convergent

Q: (-3)" converges or diverges. Vn Determine whether n=1

A: ∑n=1∞-3nn Here, an=-3nn

Q: (금) +00 Σ -3 - n el-n n=1 convergent divergent

A:

Q: Vn+1 2(-1)r vñ+1 n+1 n=1 Odiverges O converges

A:

Q: (d) Let an = 6n²+ n-1 ntn and bn √n n+1' (i) Determine whether {an} is convergent or divergent.…

A: Given;  an=(6n2+n-1) /(n2+n)  bn=sqrt(n)/(n+1)