You will be able to determine whether a sequence converges or diverges
Allow me to walk you through warm-up exercises. Then we'll let Donald Trump's incomparable hairdo demonstrate the Fibonacci Sequence. You know, because it's perfect. Duration: 7:29
In this video, we will formally define a sequence as a discrete function whose domain consists of positive integers. From there, Example 1 will show us how to use a function for the nth term to generate a sequence. Duration: 8:37
A major question often raise about sequences asks whether or not the individual terms converge to a particular number. Are they approaching the same value? That pretty much sounds like a limit to me. Duration: 11:36
Evaluating the limit from the last sequence on Example 3 used relative growth rates. Let's conduct an investigation comparing the growth rates of exponentials, which we ordinarily associate with rapid growth, to factorials. Our conclusions here will help us situationally avoid using L'Hospital's Rule. Let's face it: No one wants to take the derivative of a factorial. Duration: 7:16