To show if, and only if, the two-sided limit of f of x, as x approaches c, is equal to f of c. So we could say theįunction f is continuous. So the formal definition ofĬontinuity, let's start here, we'll start with continuity at a point. Well let's actually come up with a formal definition for continuity, and then see if it feels intuitive for us. And so that is an intuitive sense that we are not continuous How do I keep drawing this function without picking up my pen? I would have to pick it up, and then move back down here. Let's see, my pen is touching the screen, touching the screen, touching the screen. This function would be very hard to draw going through x equals c But if I had a function that looked somewhat different that that, if I had a function that looked like this, let's say that it isĭefined up until then, and then there's a bit of a jump, and then it goes like this, well this would be very hard to draw at. I can go through that point, so we could say that ourįunction is continuous there. So I could just start here, and I don't have to pick up my pencil, and there you go. If I can draw the graph at that point, the value of the function at that point without picking up my pencil, or my pen, then it's continuous there. What I just said is not that rigorous, or not rigorous at all, is that well, let's think about Graph of that function at that point without And the general idea of continuity, we've got an intuitive idea of the past, is that a function isĬontinuous at a point, is if you can draw the Totally, the risk paid off! Make sure to listen to “Burnin’ It Down” by Jason Aldean in the video below.Going to do in this video is come up with a more rigorousĭefinition for continuity. “I think sometimes you’re fortunate enough to find really cool songs that allow you to do that,” the singer said. “We should try to give it to him, and at least let him hear it.’ And next thing we know, he’s cutting it,” Hubbard recalled.Īldean, who felt like he kept doing the same thing over and over again, was feeling grateful to record something people don’t expect to hear from him. Then it came to them that there’s no better artist to “kill this song” than Aldean. It was originally intended to be a hit for Florida Georgia Line, but “the timing was tough on it.” They knew when they wrote it that it would be impossible to cut the song themselves for one more year. It’s a mid-tempo ballad about a man’s sexual encounter with his lover, which Aldean deemed to be “baby-making music.” Unlike most of Jason Aldean songs, the content of “Burnin’ It Down” is much sexier with a slower tempo – something different from what his fans were used to.īrian Kelley and Tyler Hubbard of Florida Georgia Line wrote the sexy single together with prolific songwriters Rodney Clawson and Chris Tompkins. When the steamy song was released in 2014 as the first single off his sixth studio album, Old Boots, New Dirt, it actually made a giant leap to the top spot of Billboard’s Hot Country Songs and Country Airplay chart – despite it being a different song style for Aldean. Skipping straight from being risqué to well, being very honest to the point, Jason Aldean’s “Burnin’ It Down” became the singer’s fastest-breaking single out of his illustrious career.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |