Question 4 The function given by f (x) = tan x is discontinuous on the set (A) {𝑛𝜋:𝑛 𝜖 𝒛} (B) {2𝑛𝜋:𝑛 𝜖 𝒛} (C) {(2n + 1) 𝜋/2 : 𝑛 𝜖 𝒛} (D) {𝑛𝜋/2 " : " 𝑛 𝜖 𝒛} 𝑓(𝑥) = tan 𝑥 𝒇(𝒙) = 𝐬𝐢𝐧⁡𝒙/𝐜𝐨𝐬⁡𝒙 Here, 𝑓(𝑥) is defined for all real number except 𝒄𝒐𝒔 𝒙 = 0 i.e. for all 𝑥 except 𝒙 = (𝟐𝒏+𝟏) 𝝅/𝟐 Thus, tan⁡𝑥 is discontinuous on the set 𝒙={(𝟐𝒏+𝟏) 𝝅/𝟐;𝒏 𝝐 𝒛} So, the correct answer is (C)

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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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Question 4 - NCERT Exemplar - MCQs - Chapter 5 Class 12 Continuity and Differentiability

The function given by f (x) = tan x is discontinuous on the set

(A) {nπ:n ϵ z}

(B) {2nπ:n ϵ z}

(C) {(2n + 1) π/2 : n ϵ z }

(D) {nπ/2 " : " n ϵ z}

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