Which of the following point(s) is/are a point of discontinuity for f(x) defined by f(x)=4−x24x−x3
A
\N
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
-2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C -2 Given that f(x)=4−x24x−x3
f(x) is not defined if 4x−x3=0 ⇒x(4−x2)=0⇒x=0,2,−2
Therefore, f(x) is discontinuous at x = 0, 2, -2