Question to test your Continuity knowledge

Question

On the interval $(0, 15),$ locate the points where the function $f$ has discontinuities. For each discontinuity, indicate which continuity conditions are not met.

Graph showing discontinuities of a function on the interval (0, 15) with marked points.

Accepted Answer

$a equals 2 comma$ the function is discontinuous because $f\left(a ight)$ is undefined where $a$ is in the domain of $f$ ; $a equals 4 comma$ the function is discontinuous because the limit does not exist; $a equals 7 comma$ the function is discontinuous because $\lim_{x o a}f\left(x ight) e f\left(a ight)$

Answer

$a=2,$ the function is discontinuous because $f\left(a ight)$ is undefined where $a$ is in the domain of $f$ ; $a=4,$ the function is discontinuous because the limit does not exist; $a equals 15 comma$ the function is discontinuous because $\lim_{x o a}f\left(x ight) e f\left(a ight)$

Answer

$a=2,$ the function is discontinuous because $f\left(a ight)$ is undefined where $a$ is in the domain of $f$ ; $a=4,$ the function is discontinuous because $\lim_{x o a}f\left(x ight) e f\left(a ight)$ ; $a=7,$ the function is discontinuous because the limit does not exist

Answer

$a equals 2 comma$ the function is discontinuous because $f\left(a ight)$ is undefined where $a$ is in the domain of $f$ ; $a=4,$ the function is discontinuous because the limit does not exist; $a=7,$ the function is discontinuous because $\lim_{x o a}f\left(x ight) e f\left(a ight)$

Continuity: Study with Video Lessons, Practice Problems & Examples

On the interval ﻿(0,15),(0, 15),(0,15),﻿ locate the points where the function ﻿fff﻿ has discontinuities. For each discontinuity, indicate which continuity conditions are not met.

On the interval $(0, 15),$ locate the points where the function $f$ has discontinuities. For each discontinuity, indicate which continuity conditions are not met.