The function f (x) = cot x is discontinuous on the set
(A) {x=nπ:n∈ Z}
(B) {x=2nπ:n∈ Z}
(C) {x= (2n+1) π/2 ; n ∈z}
(D) {x= n π/2 ; n ∈z}
This question is similar to Example 18 - Chapter 5 Class 12 - Continuity and Differentiability
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Last updated at April 16, 2024 by Teachoo
This question is similar to Example 18 - Chapter 5 Class 12 - Continuity and Differentiability
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)