Series - convergence or divergence, Mathematics

Series - Convergence/Divergence

In the earlier section we spent some time getting familiar with series and we briefly explained convergence and divergence.  Previous to worrying as regards convergence and divergence of a series we wanted to ensure that we've started to get comfortable with the notation included in series and some of the several manipulations of series that we will, on occasion, require to be able to do.

As noted in the earlier section most of what we were doing there won't be done much more in this section. Thus, it is now time to start talking about the convergence and divergence of a series as this will be a topic which we'll be dealing with to one extent.

Thus, let us remind just what an infinite series is and what it means for a series to be convergent or divergent. We will start along with a sequence {an}n=1 and again note that we're starting the sequence at n = 1 just only for the sake of convenience and it can, actually, be anything. Next we illustrate the partial sums of the series as and these make a new sequence, {sn} n=1

Posted Date: 4/12/2013 3:23:07 AM | Location : United States







Related Discussions:- Series - convergence or divergence, Assignment Help, Ask Question on Series - convergence or divergence, Get Answer, Expert's Help, Series - convergence or divergence Discussions

Write discussion on Series - convergence or divergence
Your posts are moderated
Related Questions
Standardizing Normal Variables Suppose we have a normal population. We can represent it by a normal variable X. Further, we can convert any value of X into a corresponding valu

What is the exact vale of sin(theta/2) when sintheta=3/5, pi/2


how can you identify if a certain number is rational or irrational?

conclusion on share and dividend project

Distribution of Sample distribution or Sampling means A sample of size n is taken from the parent population and mean of the sample is estimated. It is repeated for a number o

A recipe calls for 2 1/4 teaspoons of salt for every 1 1/8 teaspoons of black pepper used. How many teaspoons of salt are needed for each teaspoon of pepper used ?

The frequency of oscillation of an object suspended on a spring depends on the stiffness k of the spring (called the spring constant) and the mass m of the object. If the spring is

find a quadratic polynomial whose zeroes are 2 and -6.verify the relationship between the coefficients and zeroes of the polynomial

maria has a slice of pizza that is 1/6 of the pizaa.Ben has a slice of pizza that is 1/3 of the pizza, marias slice is bigger.draw pizzas to show how this is possible.