MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 320 off
USE CODE: MOB20

				   

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=?

4 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).

4 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

4 years ago

Post Your Answer

Other Related Questions on Differential Calculus

how to determine the theorem to use for a specific question in mean value theorem concept?
 
 
the mean value theorem generally gives the boundary values of a functions hence if question involves anything about boundary values of a given function use mean value theorem concept.
 
Himanshu 6 months ago
what is the differentiation????????????????????????????????????????????
 
 
Dear Sudharashan Packing can be a source of product is called differentiation. This will be usefull in mathematics as well as physics
 
Prabhakar ch 6 months ago
 
hi sudarshan... Differentiation (economics), the making a product different from other similar products. Differentiation (ethnography), the invention of ostensible differences between...
 
manichandra 6 months ago
 
hi sudarshan... Differentiation (economics), the making a product different from other similar products. Differentiation (ethnography), the invention of ostensible differences between...
 
mohan 6 months ago
Evaluate the following
 
 
 
jagdish singh singh 8 months ago
Solve this reasoing question nd send me the image...
 
 
You have not uploaded the question here, please check and resend. Thanks.
  img
Vijay Mukati 4 months ago
How many permutation and combination can arrange from the word PARABOLA , if 3 letters taken
 
 
Hint: Here we are given in total 2P, 3A, B, O, L Now to form a 3 letter word, take the different cases as (1) all differnt (2) 2 same and 1 different, in this case we again we have two...
  img
Vijay Mukati 9 days ago
Three persons A1, A2, A3 are to speak at a function along with 5 other persons. If the persons speak in random order, then what is the probability that A1 speaks before A2 and A2 before A3 ?
 
 
Dear Student, For 8 speakers, total arrangement will be 8!. Now out of 8 postions selecting any three positions for (A,B and C in order) will be 8 C 3 are remaining can be arranged in 5!...
  img
Vijay Mukati 4 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off
USE CODE: sch25

Get extra R 320 off
USE CODE: MOB20

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