Category
page 1Convergence tests
convergence test
Mathematical criterion about whether a series converges
ratio test
test of convergence of series, which uses the ratio of adjacent terms
root test
Criterion for the convergence of an infinite series
alternating series test
method used to show that an alternating series is convergent
Weierstrass M-test
criterion about convergence of series
Cauchy condensation test
Standard convergence test for infinite series
comparison test
way of deducing the convergence or divergence of an infinite series or an improper integral
Stolz–Cesàro theorem
theorem
nth-term test
test for the divergence of an infinite series
Dirichlet's test
theorem
Cauchy's convergence test
theorem
integral test for convergence
test for infinite series of monotonous terms for convergence
Abel's test
convergence test
limit comparison test
method of testing for the convergence of an infinite series
Dini test