Answer :

Let f(x) = sec x


Therefore, f(x) =


f(x) is not defined when cos x = 0


And cos x = 0 when, x = and odd multiples of like


Let us consider the function


f(a) = cos a and let c be any real number. Then,




= cos c - sin c


= cos c (1) – sin c (0)


Therefore,


cos c


Similarly,


f(c) = cos c


Therefore,


f(c) = cos c


So, f(a) is continuous at a = c


Similarly, cos x is also continuous everywhere


Therefore, sec x is continuous on the open interval


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find which of theMathematics - Exemplar

Discuss the contiRD Sharma - Volume 1

Find which of theMathematics - Exemplar

Find which of theMathematics - Exemplar

If <iMathematics - Exemplar

<img width=Mathematics - Exemplar

Find the value ofMathematics - Exemplar

Discuss the contiRD Sharma - Volume 1

Discuss the contiRD Sharma - Volume 1

Find the value ofMathematics - Exemplar