Interactive Real Analysis
- part of Integral Test
Suppose that f(x) is positive, continuous, decreasing
function on the interval
[N, 
). Let
a n = f(n). Then
Note that this test is much different from all the others. We have not
yet formally introduced the concept of an Integral - or even of a
continuous function - so that we can not prove this test here. However,
for completeness it is included as a test that is sometimes useful to
apply.
). Let
a n = f(n). Then
converges if and only if
converges
Context