MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
love singh Grade:
        

EXPLAIN ABOUT GREATEST INTEGER FUNCTION.IN DETAIL

7 years ago

Answers : (1)

Askiitians Expert Mohit Singla
19 Points
										

Dear Love,


Greatest integer function returns the greatest integer less than or equal to a real number.
The greatest integer function(GIF) is denoted by the symbol “[x]”.
In terms of integral and fraction parts, we write a real number "x" as :


x=[x]+{x}.


Here  [x]=integral part


  and {x}=fractional part.



     The fractional part is defined as  0≤{x}<1


Considering different cases:


Case 1: x>0


Say x=2.5


Here x= 2 + 0.5


i.e. integral part = 2 = GIF


and  fractional part=0.5


Case 2:x<0


Say x=-2.5


Here We break x= -3 + 0.5


Because  0≤{x}<1


Therefore (GIF)=-3=integral part.


and  fractional part=0.5



The value of "[x]" is an integer (n) such that :


f(x)=[x]=n;ifn≤x<n+1  ,n belongs to Integer


Thus a  two step process :


If “x” is an integer, then [x] = x.
If “x” is not an integer, then [x] evaluates to greatest integer less than “x”.


For graph and examples on Greatest Integer Function Please refer to the link


http://www.askiitians.com/iit-jee-algebra/set-relations-functions/greatest-integer-function.aspx



Please feel free to post as many doubts on our discussion forum as you can. If you find any question
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We
are all IITians and here to help you in your IIT JEE preparation.



All the best Love !!!


 
Regards,


Askiitians Experts


Mohit Singla

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details