Search any question & find its solution
Question:
Answered & Verified by Expert
The no. of points of discontinuity of the function $f(x)=x-[x]$ in the interval $(0,7)$ are
Options:
Solution:
2869 Upvotes
Verified Answer
The correct answer is:
6
The graph of the function $f(x)=x-[x]$ for the interval $(0,7)$ is shown below:
It is obvious from the above graph that the function $x-[x]$ is discontinuous at the points $x=1,2,3,4,5,6 .$ Therefore no. of points of discontinuity of the given function in the given interval are $6 .$
It is obvious from the above graph that the function $x-[x]$ is discontinuous at the points $x=1,2,3,4,5,6 .$ Therefore no. of points of discontinuity of the given function in the given interval are $6 .$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.