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The function f(x) = [x] 2 – [x 2 ] is discontinuous at (1999) 1. all integers 2. all integers except 0 and 1 3. all integers except 0 4. all integers except 1

The function f(x) = [x]2 – [x2] is discontinuous at (1999)

1. all integers

2. all integers except 0 and 1

3. all integers except 0

4. all integers except 1

Grade:12

3 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

The answer is

D) all integers except 1

Regards
Manish kumar
25 Points
4 years ago
Dear studentThe answer isD) all integers except 1Regards
thanks
best of luck.
have a nice day.........................
Vikas TU
14149 Points
4 years ago
Dear student 
let x=n∈Z
Left hand limit : Let h is very approx. 0
limh→0+[n+h]2−[(n+h)^2]
limh→0+n^2−n^2=0
Hope this will help 
Good Luck 

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