Convergence of Series

Determine the convergence of the series: 1 + 1/2 + 1/4 + 1/8 + ...

• Diverges

• Oscillates

• Remains constant

• Converges

Is the series ∑(n=1 to ∞) 1/n convergent or divergent?

• Oscillating

• Negative

• Convergent

• Divergent

Find out if the series ∑(n=1 to ∞) (−1)^n / n converges.

• The series diverges.

• The series oscillates.

• The series approaches infinity.

• The series converges.

Investigate the convergence of the series: 1 + 1/3 + 1/9 + 1/27 + ...

• The series converges.

• The series diverges.

• The series oscillates.

• The series approaches infinity.

Does the series ∑(n=1 to ∞) 1/(n^2) converge?

• Yes

• Sometimes

• No

• Only on odd numbers

Check the convergence of the series: 1 - 1/2 + 1/4 - 1/8 + ...

• The series approaches infinity

• The series diverges

• The series converges

• The series oscillates

Examine the convergence of the series: 1 + 1/2! + 1/3! + 1/4! + ...

• The series diverges to infinity.

• The series converges to 1.

• The series converges to the value of e (approximately 2.71828).

• The series converges to 0.

Determine if the series ∑(n=1 to ∞) (-1)^n / n^2 converges.

• The series diverges.

• The series converges.

• The series oscillates.

• The series converges absolutely.

Evaluate the convergence of the series: 1 - 1/3 + 1/5 - 1/7 + ...

• The series oscillates.

• The series diverges.

• The series approaches infinity.

• The series converges.

Is the series ∑(n=1 to ∞) 1/(2n-1) convergent?

• Yes, the series is convergent.

• Yes, the series is absolutely convergent.

• No, the series is divergent.

• No, the series is conditionally convergent.