Is the series convergent or divergent? Justify the answer {Vn – Vn + 1}

Q: +00 1 9n? – 18n + 8 n=1

A:

Q: 9) Σ=1 10) 3/3 - (-1)^(1+n²) n! 3 1 4 2 11) Σ.» (= − 1) =0 τη 13) Σ=1 14) En=1 15) En=1 Σ + n+1 12)…

A:

Q: Consider an = V4n2 + 3n – 2n for n 2 1. - (a) Determine if {an}, n=1 is convergent or divergent (b)…

A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

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

A: CONVERGES

Q: 2 Σ e -n=1 In +1)

A:

Q: 2n2+5 Does the series E- converge or diverge? What happens if I try to use the Ratio Test? Is it…

A: Solve the following

Q: . Find all values of x for which пх" n=1 (n + 1)(2x + 1)" converges absolutely.

A:

Q: (3) √n +2 2n² +n +4 (3) Determine if the series converges, enter CON when converging, and DIV when…

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Q: 4n+1 Use a comparison test to determine whether the series is convergent or 3n – 2 - nt.

A:

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

A:

Q: 0se the ratio test to determine whether the series Convergent cr divergent (-1)-1 2"n3

A: A series is given by, ∑n=1∞-1n-13n2nn3. The objective is to use the ratio test to determine whether…

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

A: ∑n=1∞-3nn Here, an=-3nn