gives conditions for the sum to be convergent.
gives conditions for the multiple sum to be convergent.
Details and Options
- The following options can be given:
Assumptions $Assumptions assumptions to make about parameters Direction 1 direction of summation Method Automatic method to use for convergence testing
- Possible values for Method include:
"IntegralTest" the integral test "RaabeTest" Raabe's test "RatioTest" D'Alembert ratio test "RootTest" Cauchy root test
- With the default setting Method->Automatic, a number of additional tests specific to different classes of sequences are used.
- For multiple sums, convergence tests are performed for each independent variable.
Examplesopen allclose all
Basic Examples (2)
Numerical Sums (8)
Properties & Relations (4)
Many conditions generated by Sum are in effect convergence conditions:
Introduced in 2008
|Updated in 2010