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
$\lim _{x \rightarrow 0} \frac{\sin |x|}{x}$ is equal to
MathematicsLimitsWBJEEWBJEE 2010
Options:
  • A 1
  • B 0
  • C positive infinity
  • D does not exist
Solution:
1531 Upvotes Verified Answer
The correct answer is: does not exist
Hints: $\operatorname{Lim}_{x \rightarrow 0} \frac{\sin |x|}{x}$
LHL $=-1 \quad$ RHL $=1$
Limit does not exist

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.