https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-13/v/defining-a-function-at-a-point-to-make-it-continuous 2024-08-20T23:45:10.987222765Z Removing discontinuities (factoring) Discover how to make a function continuous by determining the appropriate value for a discontinuous point. In this example, we explore the function f(x) = (6x² + 18x + 12) / (x² - 4) and find the value it should have at x = -2 to ensure continuity. Sal Khan video https://cdn.kastatic.org/googleusercontent/-apM4f87-P0cmsIV7zR86emBlDqkZ_1FdmcimFq5ovwFriJFluKEpEwayvgYu7yPztaWiTc6-AOdc3BmcuGZAMuZNg Removing discontinuities (factoring) Discover how to make a function continuous by determining the appropriate value for a discontinuous point. In this example, we explore the function f(x) = (6x² + 18x + 12) / (x² - 4) and find the value it should have at x = -2 to ensure continuity. https://cdn.kastatic.org/ka-youtube-converted/oUgDaEwMbiU.mp4/oUgDaEwMbiU.mp4 297 Removing discontinuities https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-13/v/fancy-algebra-to-find-a-limit-and-make-a-function-continuous 2024-08-20T23:45:10.987222765Z Removing discontinuities (rationalization) Discover how to determine the value of the function f(x) = (√(x+4) - 3) / (x - 5) at x = 5 to ensure continuity. By employing algebraic techniques like rationalization and factoring, we can find the limit as x approaches 5 and identify the value that makes the function continuous. Sal Khan video https://cdn.kastatic.org/googleusercontent/g8Iw1SYb_HSBIZedw_aI26IwStS6ZUuHXgTnnkiU5LNeHXi3SZqnwsF0pDQnKfN-926GrTuuKSzRksLyvO67p_cq Removing discontinuities (rationalization) Discover how to determine the value of the function f(x) = (√(x+4) - 3) / (x - 5) at x = 5 to ensure continuity. By employing algebraic techniques like rationalization and factoring, we can find the limit as x approaches 5 and identify the value that makes the function continuous. https://cdn.kastatic.org/ka-youtube-converted/P1DJxuG7U9A.mp4/P1DJxuG7U9A.mp4 320 Removing discontinuities https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-13/e/continuity 2025-04-23T04:17:28.661677998Z Removable discontinuities Remove discontinuity points of piecewise functions by assigning appropriate values. Tomer Gal exercise