MY CART (5)

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price:

There are no items in this cart.
Continue Shopping
                   

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=?

3 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).

3 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

3 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
Find doamin of f(x) g(x)=|sinx|+sinx h(x)=sinx+cosx ,0 f(x)=(log h(x) g(x)) 1/2 log is in square root answer is pi/6,pi/2 pls give two solution graph and analytical. thanks
 
 
g(x) and h(x) have condition that x is in between 0 and pi both included
 
vineet nimesh 11 months ago
 
g(x) and h(x) has condition 0
 
vineet nimesh 11 months ago
Question is attached in image ….jitendra Sir explain this solution. I will follow your method but I want this too In = dn-1/dxn-1 [xn-1 + nxn-1 log x ] In = (n-1) dn-2 / dx n-2 xn-2 + n dn-1...
 
 
Hello student, Please find answer to your question …........(1) Put this in equation (1), we have
  img
Jitender Singh 10 months ago
 
Jitendra Sir Can u explain me second step ....
 
milind 10 months ago
 
Second of answer ….please explain …..please
 
milind 10 months ago
what is l’hospital rule?
 
 
l’hospital rule is used to calculate the value of the funcions having limits attached to them there first of all we get the 0/0 form and then we diffrentiate the numerator and denominator...
 
akshat 14 days ago
 
The above statement can be extended to any indeteminant forms such as those with infinity or division by 0.Just differentiate the nuemerator and denominator until you can easily apply the...
 
IVIN ZACHARIA THOMAS 7 days ago
m,n are integers with 0
 
 
So anything wrong if m,n are integers with zero? Please be more specific.
  img
Ravi 3 months ago
define quadric equation
 
 
In mathematics, a quadric, or quadric surface, is any D-dimensional hypersurface in (D + 1)-dimensional space defined as the locus of zeros of a quadratic polynomial. In coordinates x1, x2,...
  img
Sunil Kumar FP 6 months ago
 
test answer
 
prafull 6 months ago
 
test answer
 
prafull 6 months ago
∫e -( x*x) dx=?
 
 
there is no elementary integral for the given funciton. Pl. check the following link for further workings. http://en.wikipedia.org/wiki/Gaussian_integral
 
Y RAJYALAKSHMI 8 months ago
 
Is this ∫e -( x 2 ) dx or ∫e -( x x ) dx pl. specify
 
Y RAJYALAKSHMI 8 months ago
 
Is this ∫e -( x 2 ) dx or ∫e -( x x ) dx pl. specify
 
Y RAJYALAKSHMI 8 months ago
View all Questions »