Testing Series for Convergence

Does Σ4/√n converge or diverge?

• Converge
• Diverge
• Impossible to tell

Does Σ 1/n! converge or diverge?

• Converge
• Diverge
• Impossible to tell

What is the sum of Σ 3(1/2)ⁿ ? ( assume index starts at 0)

• 3/2

• 3

• 6

• 9

A  p-series  will converge if...

• p > 1
• p ≤ 1
• p ≤ 0
• p ≥ 0

• This is a p-series.
• This is a geometric series.
• This is a harmonic series.
• This is an alternating harmonic series.

• This infinite series converges.
• This infinite series diverges.

• This infinite series converges.
• This infinite series diverges.

Which of the series converges conditionally?

• Ʃ (-1)ⁿ/n²

• Ʃ (-1)ⁿ/n

• Ʃ 1/n

• Ʃ (-1)ⁿ/n^3/2

• Comparison Test

• p-Series Test

• Geometric Series Test

• Integral Test

• Root Test