SumConvergence[f, n]
gives conditions for the sum to be convergent.

SumConvergence[f, {n1, n2, ...}]
gives conditions for the multiple sum to be convergent.

Details and OptionsDetails and Options

  • The following options can be given:
  • Assumptions$Assumptionsassumptions to make about parameters
    Direction1direction of summation
    MethodAutomaticmethod 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.
New in 7 | Last modified in 8
New to Mathematica? Find your learning path »
Have a question? Ask support »