Show that the function defined by f(x) = | x| is a continuous function.

Continuity and Differentiability — Class 12 Maths Solution

ncert exercise SA NCERT Ex.5.1 ,Q.32,Page 161

Question

Show that the function defined by $f(x) = |\cos x|$ is a continuous function.

Step-by-step Solution

We know that cosine function is everywhere continuous and also modulus function is continuous. Therefore, $|\cos x|$ is everywhere continuous.

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Continuity and Differentiability. Curated by Sachin Sharma. Free for all students.