Question

Question 14: Discuss the continuity of the function f, where f is defined by

Class 12 - Math - Continuity and Differentiability

Answer 1

Hey there!!!
♣ f (1) = 3

♦ L.H.L = lim 3
x→1^-
=3

♦R.H.L. = lim 4
x→1^+
= 4

L.H.L. ≠ R.H.L.
So, function is discontinuous at x= 1

♣ f(3) = 4

♦ L.H.L. = lim 4
x→3^-
= 4

♦ R.H.L. = lim 5
x→3^+
=5
L.H.L. ≠ R.H.L.
So, f(x) is not continuous a x = 3.

HOPE IT HELPS....✌