Check sibling questions

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}

 

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

Slide17.JPG

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Question 4 The function given by f (x) = tan x is discontinuous on the set (A) {π‘›πœ‹:𝑛 πœ– 𝒛} (B) {2π‘›πœ‹:𝑛 πœ– 𝒛} (C) {(2n + 1) πœ‹/2 : 𝑛 πœ– 𝒛} (D) {π‘›πœ‹/2 " : " 𝑛 πœ– 𝒛} 𝑓(π‘₯) = tan π‘₯ 𝒇(𝒙) = 𝐬𝐒𝐧⁑𝒙/πœπ¨π¬β‘π’™ Here, 𝑓(π‘₯) is defined for all real number except 𝒄𝒐𝒔 𝒙 = 0 i.e. for all π‘₯ except 𝒙 = (πŸπ’+𝟏) 𝝅/𝟐 Thus, tan⁑π‘₯ is discontinuous on the set 𝒙={(πŸπ’+𝟏) 𝝅/𝟐;𝒏 𝝐 𝒛} So, the correct answer is (C)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.