Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The function $f(x)=\frac{x+1}{9 x+x^{3}}$ is
MathematicsContinuity and DifferentiabilityMHT CETMHT CET 2020 (16 Oct Shift 2)
Options:
  • A discontinuous at exactly two points.
  • B continuous for all real values of $x$.
  • C discontinuous at exactly three points.
  • D discontinuous at exactly one point.
Solution:
1031 Upvotes Verified Answer
The correct answer is: discontinuous at exactly one point.
(C)
$f(x)=\frac{x+1}{9 x+x^{3}}=\frac{x+1}{x\left(9+x^{2}\right)}$
The function is discontinuous at exactly one point i.e. $x=0$.

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.