{"type":"video","version":"1.0","html":"<iframe src=\"https://www.loom.com/embed/8d80a15e03974d7393894ae8ac9f14fc\" frameborder=\"0\" width=\"1920\" height=\"1440\" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>","height":1440,"width":1920,"provider_name":"Loom","provider_url":"https://www.loom.com","thumbnail_height":1440,"thumbnail_width":1920,"thumbnail_url":"https://cdn.loom.com/sessions/thumbnails/8d80a15e03974d7393894ae8ac9f14fc-a2bd508677951c92.gif","duration":248.68,"title":"Understanding Limits Graphs and Algebra","description":"In this Loom I explain what a limit is in calculus. I show that the limit is the y value a function approaches as x gets infinitely close to a point, like x approaching 2 for f(x) = x^2 minus 4, which gives a limit of 0. I also cover cases where the function is undefined, such as f(x) = (x^2 minus 4)/(x minus 2) with a hole at x = 2, where the limit still exists and equals 4. Finally, I explain that the limit exists only if the left-hand and right-hand limits match, illustrated by an absolute value graph where they are -1 and 1, so the limit does not exist."}