Question 4
The function given by f (x) = tan x is discontinuous on the set
(A) {ππ:π π π} (B) {2ππ:π π π}
(C) {(2n + 1) π/2 : π π π} (D) {ππ/2 " : " π π π}
π(π₯) = tan π₯
π(π) = π¬π’π§β‘π/ππ¨π¬β‘π
Here,
π(π₯) is defined for all real number except πππ π = 0
i.e. for all π₯ except π = (ππ+π) π /π
Thus, tanβ‘π₯ is discontinuous on the set π={(ππ+π) π /π;π π π}
So, the correct answer is (C)

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.