Exam 4 Review

• Diverges

• Converges

• Diverges

• Converges

• Diverges

• Converges

• Diverges

• Converges

The Geometric Series 0.15 + 0.0015 + 0.000015 + ...

• Converges to 15

• Converges to 15/10

• Converges to 15/100

• Converges to 15/99

• Diverges

• Convergent by Ratio Test

• Divergent by Ratio Test

• Divergent by the Direct Comparison Test

• Convergent by the Limit Comparison Test

• Divergent by the Integral Test

• Converges by the ratio test

• Converges by the alternating series test

• Converges by the direct comparison test

• Diverges by the limit comparison test

• Diverges by the direct comparison test

• Converges Absolutely by the Ratio Test

• Diverges by the Ratio Test

• Converges Absolutely by the Integral Test

• Converges Absolutely by the Comparison Test

• Diverges by the Integral Test

• 1

• 4

• 6

• 12

• 24