Convergence Tests
Published in
2 min readJan 18, 2019
Here lists common Convergence Tests and overview of each. Details are singled out to each section.
Convergence test are a set of tests to determine wether the series CONVERGENTor DIVERGENT.
It includes:
Divergent Test
Take the limit of nth term, if it’s NOT ZERO, then it’s DIVERGENT.
Integral Test
p-series Test
Direct Comparison Test
Compare the series to a “similar” p-series or geometric-series.
Limit Comparison Test
Compare the series to a “similar” p-series or geometric-series.
Ratio Test
Take limit of two terms ratio.
Root Test
Take the limit of nth root of nth term.
Alternating Series Test
Test if terms are decreasing, and take limit of nth term.
Absolute Convergence & Conditional Convergence
