Question

 

Let 

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

 

Solution

Correct option is

 

For f to be continuous, we must have

         

    

                 

    (L’ Hospital Rule)

                                    

                                   

Hence       

SIMILAR QUESTIONS

Q1

 equals

Q2

 

If 

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

Q3

 is equal to  

Q4

 is equal to

Q5

 is equal to

Q6

 is equal to

Q7

 is equal to

Q8

 

The value of f(0) so that the function

          

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

Q9

 

Let 

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

Q10

The number of points at which the function f(x) = 1/log |x| is discontinuous is