Q. 205.0( 2 Votes )

Let <

Answer :

Given:


f(x) is continuous at x = & f() = a,


If f(x) to be continuous at x = ,we have to show, f() = f() + = f()


LHL = f() =



sin(–x) = cosx


cos(–x) = sinx





(a3–b3) = (a–b)(a2 + ab + b2)






cos(0) = 1




...(1)


LHL = f() + =











1


...(2)


f(x) is continuous at x = & f() = a ,and from (1) & (2),we get


f() = f() + = f()


= a


a =



b = 4


Hence ,a = & b = 4

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