Check sibling questions

The function f (x) = cot x is discontinuous on the set

(A) {x=nΟ€:n∈ Z} Β  Β Β  Β  Β Β Β Β Β Β Β Β 

(B) {x=2nΟ€:n∈ Z} Β 

(C) {x= (2n+1)Β  Ο€/2 Β  ; n ∈z} Β  Β Β Β Β Β Β Β Β  Β  Β Β Β Β Β Β Β Β 

(D) {x= n Ο€/2 Β  ; n ∈z}

This question is similar to Example 18 - Chapter 5 Class 12 - Continuity and Differentiability

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Transcript

Question 16 The function f (x) = cot x is discontinuous on the set (A) {π‘₯=π‘›πœ‹:π‘›βˆˆπ’} (B) {π‘₯=2π‘›πœ‹:π‘›βˆˆπ’} (C) {π‘₯=(πŸπ’+𝟏) 𝝅/𝟐 ;π‘›βˆˆπ’›} (D) {π‘₯=𝒏𝝅/𝟐 ;π‘›βˆˆπ’›} Let 𝑓(π‘₯) = cπ‘œπ‘‘β‘π‘₯ 𝒇(𝒙) = 𝒄𝒐𝒔⁑𝒙/π’”π’Šπ’β‘π’™ Here, 𝑓(π‘₯) is defined for all real number except π’”π’Šπ’β‘π’™ = 0 i.e. for all x except x = 𝒏𝝅 Thus, cot⁑π‘₯ is discontinuous on the set {𝒙=𝒏𝝅:π’βˆˆπ’} So, the correct answer is (A)

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.