Sequence Convergence or Divergence

Does the sequence a_n = cos(n/2) converge or diverge?

• Diverge

• Converge and the limit is 1/2

• Converge and the limit is 1

• Converge and the limit is 0

Does the sequence a_n = 2 + (0.8)ⁿ converge or diverge?

• Diverge

• Converge and the limit is 0

• Converge and the limit is 2

• Converge and the limit is 7

Does the sequence a_n = cos(2/n) converge or diverge?

• Diverge

• Converge the limit is 0

• Converge the limit is 2

• Converge the limit is 1

Does the sequence a_n = 0.2 + (-3)ⁿ converge or diverge?

• Diverge

• Converge and the limit is 0

• Converge and the limit is 0.2

• Converge and the limit is -3

Does the sequence a_n = sin(n) converge or diverge?

• Diverge

• Converge and the limit is 1

• Converge and the limit is 0

• Converge and the limit is -1

Does the sequence a_n = 4n³/(3n³-5n) converge or diverge?

• Diverge

• Converge and the limit is 1

• Converge and the limit is 0

• Converge and the limit is 4/3

Does the sequence a_n = ln(n+1) - ln(n) converge or diverge?

• Diverge

• Converge and the limit is 0

• Converge and the limit is 1

• Converge and the limit is e

Does the sequence a_n = n⁴/(n³-n) converge or diverge?

• Diverge

• Converge and the limit is 1

• Converge and the limit is 0

• Converge and the limit is 4/3

Does the sequence a_n = 2(0.8)ⁿ converge or diverge?

• Diverge

• Converge and the limit is 0

• Converge and the limit is 2

• Converge and the limit is 7

Does the sequence a_n = n²/(n³-n) converge or diverge?

• Diverge

• Converge and the limit is 1

• Converge and the limit is 0

• Converge and the limit is 4/3