Search results
- Season 1
- Season 2
- Season 3
- Season 4
- Season 5
- Season 6
- Season 1 overviewJun 7-Aug 2, 20148 episodesSeason 1 episodes1. Not Exactly How We Planned Jun 7, 2014
- Nightclub owner James "Ghost" St. Patrick works to escape his second life as a drug kingpin.
- 2. Whoever He Is Jun 14, 2014
- Ghost and Tommy respond when their drug business is attacked; Ghost is reunited with an old flame.
- 3. This Is Real Jun 21, 2014
- The rift between Ghost and Tasha deepens as uncertainty surrounds the future of the nightclub.
- 4. Who Are You? Jun 28, 2014
- Ghost and Tommy call a meeting of their gang leaders, while Angela plans surveillance of the event.
- 5. I Gotta Go Jul 12, 2014
- Tasha interferes with club business; Ghost continues seeing Angela; Tommy pursues an employee.
- 6. Who You With? Jul 19, 2014
- Tommy and Ruiz settle their differences; Angela works with one of Ruiz's gang members.
- 7. Loyalty Jul 26, 2014
- Ghost learns a friend may be responsible for the hits; Angela attempts to stop an upcoming attack.
- 8. Best Laid Plans Aug 2, 2014
- Ghost makes a major decision in an attempt to become a legitimate businessman.
Power series. In mathematics, a power series (in one variable) is an infinite series of the form. where an represents the coefficient of the n th term and c is a constant. Power series are useful in mathematical analysis, where they arise as Taylor series of infinitely differentiable functions.
A power series is a type of series with terms involving a variable. More specifically, if the variable is x, then all the terms of the series involve powers of x. As a result, a power series can be thought of as an infinite polynomial. Power series are used to represent common functions and also to define new functions.
Nov 16, 2022 · A power series about a, or just power series, is any series that can be written in the form, ∞ ∑ n=0cn(x −a)n ∑ n = 0 ∞ c n ( x − a) n. where a a and cn c n are numbers. The cn c n ’s are often called the coefficients of the series. The first thing to notice about a power series is that it is a function of x x.
Learn what a power series is, how to find its coefficients and radius of convergence, and how to use it to approximate functions. Explore common power series such as geometric series and Maclaurin series with examples and exercises.
Dec 21, 2020 · Example 8.6.4 and the work following Example 8.6.3 established relationships between a power series function and "regular'' functions that we have dealt with in the past. In general, given a power series function, it is difficult (if not impossible) to express the function in terms of elementary functions.
People also ask
What is a power series?
Why is power series a function?
How do you represent a function using a power series?
What is an example of a general power series?
Learn what power series are, how they depend on x-values, and how they can be used to calculate functions. Watch a video and read the comments from other learners and experts.
- 7 min
- Sal Khan
Learn how to represent functions as power series, which are infinite sums of powers of x. Explore the properties, convergence, and applications of power series in calculus.