f(x)=[x]+[-x] when xis not equal to 2 and A ,when X =2 if fx is continuous at x=2 thwn the value of A=?

2 years ago

Share

Answers : (2)

                                        

Hi Koushik,


 


Ih you note


f(x) as x tends to 2 from the right ie 2+


f(2+) = 2-3 = -1


And f(x) as x tends to 2 from the left ie 2-


f(2-) = 1-2 = -1.


 


So f(2) = A = -1 for f(x) to be continuous at 2.


 


Hope it helps.


Wish you all the best.


 


Regards,


Ashwin (IIT Madras).

2 years ago
                                        

For continuity lim x->2+ f(x) = f(2) = lim x-> 2-


Evalutaing left hand limit: 


When x->2-: [x]+[-x] = [2-h]+[-(2-h)] =1+[-2+h]=1-2=-1


Evaluating right hand limit


When x->2+ : [2+h]+[-2-h]= 2+(-3)= -1 


therefore f(2) = -1 to mk the function continuous

2 years ago

Post Your Answer

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
Help ..Image attached
 
 
Hello student, Please find answer to your question Similarly for n,
  img
Jitender Singh 2 months ago
help expain fully
 
 
Ans: © Limit of f’’(x) at x = 0 exists. Other data should be given which make the limit zero by zero form So it is zero by zero form. Apply L’hospital rule
  img
Jitender Singh one month ago
 
jitendra sir can you tell me how it is 0/0 form ….….…...no ther data is given....please
 
milind one month ago
Show by using LMVT f(x)=logx that 1-a/b
 
 
Hi Student, Your questions seems to incomplete. Please rewrite your complete question. Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty
  img
Jitender Singh 2 months ago
show that of all the rectangles inscribed in a fixed circle ,the square has the maximum area
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 2 months ago
(cosecA-sinA)(secA-cosA) =1/tanA+cotA
 
 
Hello Student, Please find the solution (cosecA-sinA)(secA-cosA) =(1/sinA – sinA )(1/cosA – cosA) =[(1- sin 2 A)/sinA][(1-cos 2 A)/cosA] =[(cos 2 A)/sinA][(sin 2 A)/cosA]...
  img
Nishant Vora yesterday
Let a,b,c E R and a (is not equal to 0) be such that (a+c) 2 2, then the quadratic equation ax 2 + bx + c = 0 has : Imaginary roots. Real roots. Exactly one real root lying in the...
 
 
Hello student, Please find my response to your question below Iam unable to interpret your query Because you didot mention the condition clearly here so without condition you may not get an...
  img
SHAIK AASIF AHAMED one month ago
 
Hello student, Please find my response to your question below What does the line’a (is not equal to 0) be such that (a+c) 2 ’mean it does not have a meaning i think there should...
  img
SHAIK AASIF AHAMED one month ago
 
in the first line it is (a+c)^2
 
Ujjwal one month ago
View all Questions »