"अभिसारी श्रेणी": अवतरणों में अंतर

*: <math>{1 \over 1}+{1 \over 3}+{1 \over 6}+{1 \over 10}+{1 \over 15}+{1 \over 21}+\cdots = 2.</math>

* The reciprocals of [[factorial]]s produce a convergent series (see [[e (mathematical constant)|e]]):

* The reciprocals of [[square number]]s produce a convergent series (the [[Basel problem]]):

*: <math>{1 \over 1}+{1 \over 4}+{1 \over 9}+{1 \over 16}+{1 \over 25}+{1 \over 36}+\cdots = {\pi^2 \over 6}.</math>

*: <math>{1 \over 1}-{1 \over 2}+{1 \over 4}-{1 \over 8}+{1 \over 16}-{1 \over 32}+\cdots = {2\over3}.</math>

* The reciprocals of [[Fibonacci number]]s produce a convergent series (see [[reciprocal Fibonacci constant|ψ]]):

 

== अभिसरण परीक्षा ==