Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

Comment on the continuity of f(x) = sin \( {x }^{ 2} \)

Options:

continuous

discontinuous

partially continuous

cannot say

Correct Answer:

continuous

Explanation:

Theorem :  If f and g are real valued functions such that (f o g) is defined at c, and g is continuous at c and f is continuous at g(c0, then (f o g) is continuous at c.