Series

1. II B.Sc Maths SF
Sequences and Series
-K.Anitha M.Sc.,M.Phil.,
-A.Sujatha M.Sc.,M.Phil.,

2. Series
• Let (an ) be a sequence of real numbers . Then
a1+a2+……an+…is called an infinite series of
real numbers.
• (sn ) is called the sequence of partial sumsof
the given series.The series converges or
diverges according as (sn ) converges or
diverges.

3. Comparison Test

4. Harmonic Series

5. Example

6. Kummer’s Test

7. D’Alembert’s Ratio Test

8. Gauss Test

9. Cauchy Root Test

10. Condensation Test