Question

 

Let 

The values of A and B so that f(x) is continuous everywhere are

Solution

Correct option is

A = –1, B = 1

 

Since sin x and cos x are continuous functions, (x) is continuous except possibly at  and 

For f to be continuous at  we must have

For f to be continuous at  we must have

      

         

Hence B = 1 and A = –1.

SIMILAR QUESTIONS

Q1

The value of  is

Q2

 equals

Q3

 

If 

where [x] denotes the greatest integer less than or equal to x, then  equals

Q4

 is equal to  

Q5

 is equal to

Q6

 is equal to

Q7

 is equal to

Q8

 is equal to

Q9

 

The value of f(0) so that the function

          

is continuous at each point in its domain, is equal to

Q10

 

Let 

The value which should be assigned to f at x = a so that it is continuous everywhere is