Question 14
The function f (x) = cot x is discontinuous on the set
(A) {๐ฅ=๐๐:๐โ๐} (B) {๐ฅ=2๐๐:๐โ๐}
(C) {๐ฅ=(๐๐+๐) ๐ /๐ ;๐โ๐} (D) {๐ฅ=๐๐ /๐ ;๐โ๐}
Let ๐(๐ฅ) = c๐๐กโก๐ฅ
๐(๐) = ๐๐๐โก๐/๐๐๐โก๐
Here,
๐(๐ฅ) is defined for all real number except ๐๐๐โก๐ = 0
i.e. for all x except x = ๐๐
Thus, cotโก๐ฅ is discontinuous on the set {๐=๐๐ :๐โ๐}
So, the correct answer is (A)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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