Question

The value of a for which  tends to a finite limit as  is

Solution

Correct option is

None of these

Since numerator as well as denominator both tends to zero as  so applying L’ Hospital Rule, we have

            

But the numerator tends to 2 + a as  and  as 

So the last limit can be finite only if 2 + a = 0, i.e., a = –2.

In this case the last limit will be equal to   

SIMILAR QUESTIONS

Q1

 is equal to

Q2

 is equal to

Q3

 is equal to

Q4

 is equal to

Q5

 

The value of f(0) so that the function

          

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

Q6

 

Let 

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

Q7

 

Let 

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

 

Q8

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

Q9

For  R, 

Q10

Let 

where g is a continuous function. Then  exists if