Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Continuity and Differentiability

Question:

The function f(x) = \( { e}^{ |x|} \) is

Options:

 continuous everywhere but not differentiable at x = 0

not continuous at x = 0

 continuous and differentiable everywhere

None

Correct Answer:

 continuous everywhere but not differentiable at x = 0

Explanation:

Solve both sides by substituting for the limit for checking continuity.

At x = 0, \(\frac{d}{dx}\) e|x| = 0 at x=0