Q. The function $f(x) = e^{- |x|}$ is
A) Continuous everywhere but not differentiable at $x = 0$
B) Continuous and differentiable everywhere
C) Not continuous at $x = 0$
D) None of the above
Explanation
(a)
It is clear from the figure that $f(x)$ is continuous everywhere and not differentiable at $x = 0$ due to sharp edge
[image:5_image8.emf]
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.