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
Check monotonocity of f(x)=x^3+ 2x^2 +5x for x 3sinx for x>0 at x=0
 
 
Ans: Hello student, Please find the answer to your question below > f(x) is always increasing below zero. f’(x) is +ve in the positive nbhd of zero. So its increases in the +ve nbhd...
  img
Jitender Singh 7 months ago
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 10 months ago
 
g(x) and h(x) has condition 0
 
vineet nimesh 10 months ago
Q. F( x + 2y, x – 2y) = xy , then F(X,Y) EQUALS- x 2 - y 2 /8 x 2 – y 2 /4 x 2 + y 2 /4 x 2 – y 2 /2
 
 
Ans: x 2 - y 2 /8 if, F(xy) = x 2 – y 2 /8, then F( x + 2y, x – 2y) = ( x+2y) 2 – (x-2y) 2 /8 = 4*x*2y/8 = xy Hence ans is x 2 - y 2 /8
 
Y RAJYALAKSHMI 8 months ago
is there any formula for finding pt. of intersection between: ax+by+c=0 bx+ay+c=0
 
 
Yes, you can apply cross multiplication method(similar to solving determinants). In this eqns, x = -y = 1 . Hence, x=y= -c bc-ac ac-bc a 2 -b2 a+b
 
Ishan Mistry 4 months ago
 
how you can say that they intersect at y=x , its for sure that they are symmmetric but i think its only a special case that they intersect at y=x.
 
daksh 3 months ago
 
i think that there is a better way , we see that when we replace x with y in any eqn. we get the other one which means that the st. line intersect at y=x line as they are symmeteric about...
 
Abhishek Singh 3 months ago
how we can classify b/w infinite and finite angular displacement
 
 
Finite angular displacements are not vector quantities, the reason being that they do not obey the law of vector addition. This law asserts that the order in which vectors are added does not...
  img
Saurabh Kumar 6 days ago
please solve this question image attached
 
 
  img
Nishant Vora 7 months ago
View all Questions »