Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  •  Find the points of discontinuity of the following functions. <img alt="\mathrm{f(x)=[[x]]-[x-I]}," src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bf%28x%29%3D%5B%5B

 Find the points of discontinuity of the following functions.

\mathrm{f(x)=[[x]]-[x-I]}, where [ ] denotes G.I.F. and I is any integer.

Option: 1

\mathrm{f(x)} is not continuous for real number.
 


Option: 2

\mathrm{f(x)} is only continuous at x=1
 


Option: 3

\mathrm{f(x)}  is defined everywhere.
 


Option: 4

 NOTA


Answers (1)

best_answer

\begin{aligned} \mathrm{f(x) }& =\mathrm{[[x]]-[x-I] }\\ &\mathrm{ =[x]-[x-I]=[x]-[x]+I=I} \end{aligned}
Thas, f(x) is defined everywhere.

Posted by

Pankaj Sanodiya

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026: NIT Rourkela records higher closing ranks in CSE, ECE, AI; core engineering branches stable
anam-khan

JEE Main 2026: IIT Delhi’s CSE, EE most opted; last 2 year’s closing ranks for all categories
anam-khan

Must provide CBSE 11th registration numbers to JEE Mains aspirants, board tells schools

Latest Question