The Engineer posted on October 23, 2006 
 7608 views
In the fith century B.C. the theory on the limit of a sequence was introduced by the Greek philosopher Zeno of Elea.
By definition, a sequence {a_{n}} is a set of real numbers written in a define natural order.
For instance, the sequence {1, 1/2, 1/3, 1/4,...} can be described by a formula for n^{th} term
{1, 1/2, 1/3, 1/4,...} is called the range of the sequence
A sequence {a_{n}} has the limit L and is written,
A series is formed by many terms (maybe infinitely many) added together. This is the basic
difference between series and sequences.
An infinite series(or simply a series) is denoted

The Geometric Series

The geometric series,
is convergent if  r  < 1 and its sum is

The Root and Ratio Tests

The Ratio Test
The Root Test

Power Series


The Binomial Series

